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A preconditioning technique of Gauss–Legendre quadrature for the logarithm of symmetric positive definite matrices Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-25
Fuminori Tatsuoka, Tomohiro Sogabe, Tomoya Kemmochi, Shao-Liang ZhangThis note considers the computation of the logarithm of symmetric positive definite matrices using the Gauss–Legendre (GL) quadrature. The GL quadrature becomes slow when the condition number of the given matrix is large. In this note, we propose a technique dividing the matrix logarithm into two matrix logarithms, where the condition numbers of the divided logarithm arguments are smaller than that
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Asymptotical stability of a stochastic SIQRS epidemic model with log-normal Ornstein–Uhlenbeck process Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-19
Xiao Li, Qun LiuIn this work, we propose and analyze a stochastic SIQRS epidemic model with the disease transmission rate driven by a log-normal Ornstein–Uhlenbeck process. By establishing a series of Lyapunov functions, we derive sufficient criteria for the asymptotical stability of the positive equilibrium of the system which suggests the prevalence of the disease in the long term. This work provides a basis for
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On absolute value equations associated with [formula omitted]-matrices and [formula omitted]-matrices Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-19
Chun-Hua GuoWe consider the absolute value equation (AVE) Ax−|x|=b, where the diagonal entries of A∈Rn×n are all greater than 1 and 〈A〉−I is an irreducible singular M-matrix (〈A〉 is the comparison matrix of A). We investigate the existence and uniqueness of solutions for the AVE. The AVE does not necessarily have a unique solution for every b∈Rn, so most of the existing convergence results for various iterative
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On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-19
Nirjan Biswas, Laura Gambera, Umberto GuarnottaThe paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight w driving the double-phase operator is strictly positive in the whole domain or the domain is convex and fulfils a suitable symmetry condition.
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Global dynamics of a two-stage social insect model incorporating nonlinear egg cannibalism Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-19
Tao Feng, Xinyu WuThis study refines the two-stage social insect model of Kang et al. (2015) by incorporating a nonlinear egg cannibalism rate. The introduction of nonlinearity presents analytical challenges, addressed through the application of the compound matrix method to rigorously establish global stability. The analysis reveals complex dynamical behaviors, including two distinct types of bistability: one between
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Eigenvalue problems with unbalanced growth Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-18
Nejmeddine Chorfi, Nikolaos S. Papageorgiou, Vicenţiu D. RădulescuWe consider a nonlinear eigenvalue problem driven by the nonautonomous (p,q)-Laplacian with unbalanced growth. Using suitable Rayleigh quotients and variational tools, we show that the problem has a continuous spectrum which is an upper half line and we also show a nonexistence result for a lower half line.
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On the decay rate for a stochastic delay differential equation with an unbounded delay Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-11
Xin Yao, Surong You, Wei Mao, Xuerong MaoHow does the delay function affect its decay rate for a stable stochastic delay differential equation with an unbounded delay? Under suitable Khasminskii-type conditions, an existence-and-uniqueness theorem for an SDDE with a general unbounded time-varying delay will be firstly given. Its decay rate will be discussed when the equation is stable. Given the unbounded delay function, it will be shown
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Oscillation criteria for the second-order neutral advanced dynamic equations on time scales Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-10
Ying SuiIn this paper, we consider the oscillation of second-order neutral advanced dynamic equations on time scales of the form (r(t)(zΔ(t))α)Δ+q(t)f(y(m(t)))=0, where z(t)=y(t)+p(t)y(τ(t)) and m(t)≥t. We consider two cases of τ(t)≥t and τ(t)≤t, respectively. Some new oscillatory results are based on the new comparison theorems that enable us to reduce problem of the oscillation of the second-order equations
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A super-localized finite element method for inhomogeneous fourth-order singular perturbation problem Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-10
Bin Dai, Chen-Song ZhangThis paper presents a multi-scale method for inhomogeneous fourth-order singular perturbation problems. This method guarantees a uniform high-order convergence rate, regardless of the presence of multi-scale coefficients or boundary layer effects. The numerical experiments in two and three dimensions confirm the theory.
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A fast wavelet collocation method with compression techniques for Steklov eigenvalue problems of Helmholtz equations Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-10
Guangqing Long, Huanfeng Yang, Li-Bin LiuA fast wavelet collocation method with compression techniques is proposed for solving the Steklov eigenvalue problem. Based on the potential theory, the Steklov eigenvalue problem is reformulated as a boundary integral equation with logarithmic singularity. By using the compression technique, the wavelet coefficient matrix is truncated into sparse. This technique leads to the algorithm faster. We show
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Computational analysis of a normalized time-fractional Fisher equation Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-08
Soobin Kwak, Yunjae Nam, Seungyoon Kang, Junseok KimThis study presents a normalized time-fractional Fisher equation to resolve scaling inconsistencies associated with conventional time-fractional derivatives. A finite difference scheme is applied to numerically solve the equation. Computational experiments are conducted to investigate the impact of the fractional order on the system’s dynamics. The numerical results demonstrate the influence of memory
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Analytical 3D fundamental solutions for dynamic saturated poroelasticity Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-06
Tao Deng, Xinhui Chen, Wenjun Luo, Xing WeiThe fundamental solution is a particular solution of the inhomogeneous equation with Dirac delta function as the right hand side term. It holds significant importance in both applied and theoretical mathematics and physics. This study focuses on deriving 3D fundamental solutions in the frequency domain for wave propagation in a fluid-saturated porous medium in the context of Biot's theory. The approach
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Analytical solution to the elastic wave scattering problem caused by a circular inclusion in two dimensional layered inhomogeneous piezoelectric media Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-05
Enxiang Qu, Hui Qi, Jing GuoThe method of complex variable functions is integrated to investigate the steady state problem wherein SH guided waves impinge upon two dimensional layered inhomogeneous piezoelectric media with a circular inclusion, and the corresponding analytical expressions are derived. Specifically, the guided wave expansion technique is employed to formulate the incident wave field of planar SH guided waves.
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A generalized Nyström method with subspace iteration for low-rank approximations of large-scale nonsymmetric matrices Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Yatian Wang, Nian-Ci Wu, Yuqiu Liu, Hua XiangIn numerical linear algebra, finding the low-rank approximation of large-scale nonsymmetric matrices is a core problem. In this work, we combine the generalized Nyström method and randomized subspace iteration to propose a new low-rank approximation algorithm, which we refer to as the generalized Nyström method with subspace iteration. Moreover, utilizing the projection theory, we perform an in-depth
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Global solutions for the system of a viscous two-fluid model Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Yan Liu, Wenjun WangIn this paper, we consider a viscous compressible two-fluid model with a pressure law that depends on two variables. We establish the existence theory for the global solution of this system within the HN(R3)-framework (N≥2), assuming that the H2(R3)-norm of the initial perturbation is small. The energy method combined with the low-frequency and high-frequency decomposition is used to derive the decay
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Orthogonal block Kaczmarz inner-iteration preconditioned flexible GMRES method for large-scale linear systems Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Xin-Fang Zhang, Meng-Long Xiao, Zhuo-Heng HeKacamarz-type inner-iteration preconditioned flexible GMRES method, which was proposed by Du et al. (2021), is attractive for solving consistent linear systems. However, its inner iteration was only performed by several commonly used Kaczmarz-type methods, and required computing AAT in advance, which is unfavorable for big data problems. To overcome these difficulties, we first propose a simple orthogonal
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On a nonautonomous nonlinear model for cell growth and division Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Qihua Huang, Jie Ou, Xiumei DengIn this paper, we propose and analyze a nonautonomous, nonlinear size-structured population model that describes the growth and division of cells. By applying the monotone method based on a comparison principle, we establish the well-posedness of the model. We then investigate the long-term behavior of the solution using the upper–lower solution approach. Specifically, we derive conditions on the model
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Lattice Boltzmann modeling of the coherent solid–solid transition with elastic effects Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Han Wu, Dongke Sun, Wei Chen, Qingguo FeiA mesoscopic lattice Boltzmann model is proposed to investigate the dynamic evolution of solid-state structures during the hexagonal-to-orthorhombic transition, incorporating the micro-elastic theory. The model enables detailed observation of the morphology of both single- and multi-variant systems. The analytically recovered macroscopic governing equation is fully consistent with the kinetic theory
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Generalized finite difference method for dynamics analysis of axially moving beams and plates Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Cuiju Feng, Cong Xie, Maosheng JiangIn this paper, we propose one novel generalized finite difference method(GFDM) for the moving beams and plates problem. Firstly the second-order backward difference formula scheme is used for the time discretization. And the GFDM idea is explored to discrete the space area. The proposed method is easy to code and deal with the complex boundary conditions. The convergence test is presented and agrees
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Breather and rogue wave solutions for the variable coefficient nonlinear Schrödinger equation on Jacobian elliptic function periodic backgrounds Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Meng-Chu Wei, Xiao-Yong WenThis study concentrates on exact solutions on the Jacobian elliptic function periodic background to the variable-coefficient nonlinear Schrödinger (vcNLS) equation. Through constructing the new eigenvalue solution for Lax pair and using the known Darboux transformation (DT) of vcNLS equation, the breather and rogue wave (RW) structures on Jacobian elliptic function backgrounds are revealed. By changing
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Global existence and boundedness of classical solutions in chemotaxis-(Navier-)Stokes system with singular sensitivity and self-consistent term Appl. Math. Lett. (IF 2.9) Pub Date : 2025-03-01
Yuying Wang, Liqiong Pu, Jiashan ZhengThis paper addresses the global existence and boundedness of classical solutions to the Neumann-Neumann-Dirichlet value problem for the chemotaxis system, as described by (*)nt+u⋅∇n=Δn−χ∇⋅n1+c∇c+∇⋅(n∇ϕ),x∈Ω,t>0,ct+u⋅∇c=Δc−nαc,x∈Ω,t>0,ut+∇P=Δu−n∇ϕ+n1+c∇c,x∈Ω,t>0,∇⋅u=0,x∈Ω,t>0∂n∂ν=∂c∂ν=0,u=0,x∈∂Ω,t>0n(x,0)=n0(x),c(x,0)=c0(x),u(x,0)=u0(x),x∈Ωin a smoothly bounded domain Ω⊂RN(N=2,3), where α>0 and the
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About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-28
Leonid ShaikhetThe known mathematical model of Glassy-winged Sharpshooter, described by a nonlinear differential equation with delay, is considered under a combination of stochastic perturbations of the type of white noise and Poisson’s jumps. It is assumed that stochastic perturbations are directly proportional to the deviation of the system state from the positive equilibrium. Via the general method of Lyapunov
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Uniqueness of weak solutions to one-dimensional doubly degenerate cross-diffusion system Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-28
Xiuqing Chen, Bang DuThe uniqueness of global weak solutions to one-dimensional doubly degenerate cross-diffusion system is shown. The equations model the evolution of feeding bacterial populations in a malnourished environment. The key idea of the proof is applying anti-derivative of the sum of weak solutions to the system.
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On bounds for norms and conditioning of Wasserstein metric matrix Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-28
Zhong-Zhi BaiFor the Wasserstein-1 metric matrices of one- and two-dimensions, we prove the two guesses about their computational properties, which were proposed by Bai in 2024 (Linear Algebra Appl. 681(2024), 150-186). More specifically, for these matrices we prove their nonsingularity and symmetric positive definiteness, and derive sharper upper bounds on the norms of their inverses and on their condition numbers
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Quasi-exponential stability of non-autonomous integro-differential systems with infinite delay Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-28
Liguang Xu, Hongxiao HuThe current article focuses on the quasi-exponential stability analysis of non-autonomous integro-differential systems characterized by infinite delay. By developing a novel generalized Halanay inequality, sufficient conditions for the quasi-exponential stability of non-autonomous integro-differential systems with infinite delay are presented for the systems.
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Bistable traveling waves of a nonlocal reaction–diffusion model with non-monotone birth pulse Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-28
Binxiang Dai, Yaobin TangThis paper considers a nonlocal reaction–diffusion model with a non-monotone birth pulse and a bistable response term. We define two monotone semiflows and, using the comparison argument, obtain the threshold dynamics between persistence and extinction in bounded domain. Moreover, we apply the asymptotic fixed point theorem to show the existence of bistable traveling wave solutions.
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Sharp-interface limit of the Cahn–Hilliard–Biot equations Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-27
Erlend Storvik, Carina BringedalIn this letter, we derive the sharp-interface limit of the Cahn–Hilliard–Biot equations using formal matched asymptotic expansions. We find that in each sub-domain, the quasi-static Biot equations are obtained with domain-specific material parameters. Moreover, across the interface, material displacement and pore pressure are continuous, while volumetric fluid content and normal stress are balanced
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Localized radial basis function collocation method for long-time simulation of nonlinear transient heat conduction problems Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-25
Yikun Wang, Xiaohan Jing, Lin QiuThis paper introduces a hybrid numerical method for simulating two- and three-dimensional nonlinear transient heat conduction problems with temperature-dependent thermal conductivity over extended time intervals. The approach employs the Krylov deferred correction method for temporal discretization, which is particularly effective for dynamic simulations requiring high accuracy. After temporal discretization
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Dynamics of non-local lattice systems in [formula omitted] Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-25
Jiaohui Xu, Tomás Caraballo, José ValeroIn this paper, the well-posedness and asymptotic behavior of a non-local lattice system are analyzed in the space ℓ1. In fact, the analysis is carried out in the subspace ℓ+1 formed by the nonnegative elements, remaining open the case of the whole space. The same problem has been analyzed recently in the space ℓ2 (see Y. Li et al., Communications on Pure and Applied Analysis, 23 (2024), 935-960). However
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Global solvability in a singular chemotaxis system with logistic source and non-sublinear production Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-24
Xiangdong Zhao, Jiao WangThis paper deals with a singular chemotaxis system with logistic source and non-sublinear production under homogeneous boundary condition: ut=Δu−χ∇⋅(uv∇v)+ru−μuk, vt=Δv−v+uβ in a bounded convex domain Ω⊂Rn with n≥1, here χ,μ>0, r∈R, k>1 and β≥1. It is proved that the system admits a global solution if k>2 with β∈[1,k−1), or k>1 and β≥1 with χ≤4nβ2. Moreover, the solution is globally bounded for the
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Bound state with prescribed angular momentum and mass Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-23
Wenbo Wang, Quanqing Li, Yuanyang YuAs a continuation of Wang (2024), in the present paper, we consider the following problem in RN−Δu+V(x)u=λ(−ix⊥⋅∇u)+μu+|u|pu,u∈H1(RN,ℂ),∫RN|u|2dx=m>0,Re∫RN(−ix⊥⋅∇uu¯)dx=l∈R,where N=2 or N=3, x⊥ is the magnetic potential (see Introduction). When lm∉Z, 2
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Propagating terrace with infinite speed in cooperative systems with multiple types of diffusions Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-22
Biao Liu, Wan-Tong Li, Wen-Bing XuThis paper is concerned with the spatial propagation of cooperative systems with general diffusions including multiple types of nonlocal dispersal mechanisms. We show the diversity of long-term behavioral patterns exhibited by different components within these systems, under the assumption that the diffusion operator bring about infinite spreading speed in propagation dynamics. Specifically, we observe
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Remarks on Navier–Stokes regularity criteria in Vishik-type spaces Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-22
Fan WuThis note investigates the formation of singularities for the 3D Navier–Stokes equations. By employing a bilinear estimate and a logarithmic interpolation inequality, we derive a new extension criterion based on two vorticity components in Vishik-type spaces, which refines several previously established results concerning Navier–Stokes equations.
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Traveling wave fronts for a discrete Nicholson’s blowflies model with two delays Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-21
Ruiwen Wu, Zhiting XuThis paper is devoted to investigate a discrete Nicholson’s blowflies model with two delays. We construct some novel upper and lower solutions for the wave equation and then show the equation admits the traveling wave fronts connecting two equilibria of the associated spatially homogeneous system. And also, we obtain the non-existence for traveling waves of the model.
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Minimal wave speed of competitive diffusive systems with time delays Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-20
Yanli Huang, Guo LinThis paper is concerned with the minimal wave speed of exclusion traveling wave solutions in a delayed competitive systems. Because of the intraspecific delays, the system cannot generate monotone semiflows. We give the minimal wave speed by combining different recipes. Here, the minimal wave speed is linearly determinate.
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Optimal-order balanced-norm error estimate of the local discontinuous Galerkin method with alternating numerical flux for singularly perturbed reaction–diffusion problems Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-19
Juan Kang, Yao ChengBalanced-norm error bounds have been established in Cheng et al. (2022) for the local discontinuous Galerkin (LDG) method using alternating numerical flux on Shishkin-type meshes. However, the convergence rate is shown to be one-half order lower than the numerical results in the general case. This paper seeks to fill up this gap by introducing a new composite projector in the error analysis. We achieve
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On a two-component Camassa–Holm equation Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-18
Zixin Zhang, Q.P. LiuA two-component generalization of the Camassa–Holm equation and its reduction proposed recently by Xue, Du and Geng [Appl. Math. Lett. 146 (2023) 108795] are studied. For this two-component equation, its missing bi-Hamiltonian structure is constructed and a Miura transformation is introduced so that it may be regarded as a modification of the very first two-component Camassa–Holm equation. Using a
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Existence and behavior of minimizers for a class of Hartree–Fock type systems Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-18
He Zhang, Haibo ChenIn this paper, we investigate the Hartree–Fock type system: −Δu+λu+μϕu,vu=uq−2u+ρvq2uq2−2u,−Δv+λv+μϕu,vv=vq−2v+ρuq2vq2−2v,where ϕu,v(x)=∫R3u2(y)+v2(y)|x−y|dy, the parameters μ,ρ>0 and q∈(2,3). Such a system is regarded as an approximation of the Coulomb system of two particles that occurs in quantum mechanics. Due to the existence of the nonlocal term ϕu,v, we find that in R3, the energy of the minimizer
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The efficient spectral Galerkin method to the phase-field models in polar geometry Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-15
Yingying XieWe construct in this paper an efficient spectral Galerkin approximation in combination with scalar auxiliary variable (SAV) method to the Allen–Cahn model and Cahn–Hilliard model in polar geometry. Since the spectral methods cannot be directly applied to the non-rectangular regions, the disk region is firstly mapped to the rectangular region by the polar transformation that will lead to singularity
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Effects of the Coriolis effect on solitary waves of the geophysical Green–Naghdi system Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-14
Mengze Guo, Shaojie YangIn this paper, we study solitary waves for the geophysical Green–Naghdi (gGN) system which describing the propagation of large amplitude surface waves. We give a description of the solitary wave profiles by performing a phase-plane analysis, and present explicit solitary wave solutions. The results reveal the influence of the relationship between the Coriolis parameter and wave speed on the existence
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Nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-13
Quanguo ZhangIn this paper, we study the nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms. We give an answer to an open problem posed in D’Abbicco (2014). Moreover, comparing with the existing results, our results do not require any positivity condition of the initial values. The proof of our results is based on the asymptotic properties of solutions for an integral
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Symplectic mixed spectral element time domain method for 3-D Schrödinger–Maxwell equations under Lorenz gauge Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-07
Chengzhuo Zhao, Wenjie Tang, Kangshuai Du, Na LiuIn this work, Hamiltonian variational principle is employed to prove that Schrödinger–Maxwell (SM) equations under Lorenz gauge exhibit a symplectic structure. Based on this, symplectic mixed spectral element time domain method (S-MSETD) for SM equations under Lorenz gauge is proposed. This method is a structure-preserving geometric algorithm that achieves high accuracy, particularly in long-term simulation
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The inverse source problem for a fractional diffusion-wave equation with inexact order: An asymptotically optimal strategy Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-07
Dinh Nguyen Duy HaiInverse source problems frequently occur in real-world applications, such as pinpointing the location of contaminant sources in areas that are difficult to access. In this paper, we consider an inverse source problem of identifying an unknown source term in an abstract fractional diffusion-wave equation with inexact order. Due to the ill-posed nature of the problem, we propose a truncation method to
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Coupled five-point lattices: Lax pairs and Hamiltonian structures Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-06
Minxin Jia, Xianguo GengA hierarchy of lattice equations, including a coupled five-point lattice equation, is proposed. By employing the zero-curvature equation, Lax pairs for this hierarchy are derived from a 4 × 4 linear matrix spectral problem. Subsequently, the Hamiltonian structure of the hierarchy is established using the trace identity. Furthermore, infinitely many conservation laws for the coupled five-point lattice
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A comparative study of dynamic models for gravity-driven particle-laden flows Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-05
Wing Pok Lee, Jonathan D. Woo, Luke F. Triplett, Yifan Gu, Sarah C. Burnett, Lingyun Ding, Andrea L. BertozziThe dynamics of viscous thin-film particle-laden flows down inclined surfaces are commonly modeled with one of two approaches: a diffusive flux model or a suspension balance model. The diffusive flux model assumes that the particles migrate via a diffusive flux induced by gradients in both the particle concentration and the effective suspension viscosity. The suspension balance model introduces non-Newtonian
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A blowup criterion for the three-dimensional compressible viscous micropolar fluids Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-03
Meiyun Dai, Jinxia Liu, Yinghui ZhangWe give a new blowup criterion for the strong solution of Cauchy problem for three-dimensional micropolar fluid equations with vacuum. It shows that the strong or smooth solution exists globally if the L∞(0,T:Lq)-norm of the density is bounded, where q is a positive constant. Particularly, we succeed in removing the technical condition ρ0∈L1 in Hou and Xu (2024).
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A free boundary problem with impulsive harvesting in small advection environment Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-03
Yanglei Li, Ningkui SunThis paper is devoted to the study of the combined effects of impulsive harvesting and small advection on the dynamical behavior of solutions to a free boundary model. By introducing a one-parameter family of initial data σϕ with σ≥0 and ϕ being a compactly supported function, under some suitable assumptions, we obtain a threshold value σ∗ such that spreading happens when σ>σ∗, vanishing happens when
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A kernel function based regularized method for boundary value problems with noisy information Appl. Math. Lett. (IF 2.9) Pub Date : 2025-02-01
X.L. Li, F.Z. Geng, Y.Q. GaoTaking advantage of the reproducing kernel theory, several effective numerical algorithms have been developed to solve boundary value problems (BVPs) with the exact right side functions. However, these methods have difficulty in solving effectively linear boundary value problems when the right side of the equation has contaminated data. The objective of this letter is to introduce a robust numerical
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A monotone block coordinate descent method for solving absolute value equations Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-30
Tingting Luo, Jiayu Liu, Cairong Chen, Qun WangIn Noor et al. (2011), the second-order Taylor expansion of the objective function is incorrectly used in constructing the descent direction. Thus, the proposed block coordinate descent method is non-monotone and a strict convergence analysis is lack. This motivates us to propose a monotone block coordinate descent method for solving absolute value equations. Under appropriate conditions, we analyze
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Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-29
Yaqin Huang, Xin Meng, Xia Wang, Libin RongIn this paper, we investigate an HIV latent infection model that incorporates cell-to-cell transmission and multiple drug classes, extending the model proposed by Areej Alshorman et al. (2022). We derive the basic reproduction number R0 for the model and establish the existence and local stability of its equilibria. By constructing appropriate Lyapunov functions, we analyze the global stability of
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Finite element method for the coupled Stokes–Darcy–Darcy system Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-29
Liyun Zuo, Guangzhi DuIn this article, we propose and analyze the finite element method for the mixed Stokes–Darcy–Darcy system which involves free flow in conduits coupled with confined flow in fractured porous media. The interactions on the interfaces come from the classical Stokes–Darcy system and the famous bulk-fracture system. Rigorously theoretical results are derived and some numerical results are provided to verify
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High-order Runge–Kutta type large time-stepping schemes for the compressible Euler equations Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-27
Lele Liu, Songhe SongThis paper establishes a class of up to fourth-order large time-stepping schemes for the compressible Euler equations under the stabilization technique framework. The proposed schemes do not destroy the accuracy of the underlying strong-stability-preserving Runge–Kutta (SSPRK) schemes, and their time step is at most s times that of the forward Euler time step of the underlying s-stage, pth-order SSPRK
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Real solutions to an asymptotically linear Helmholtz equation Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-27
Biao Liu, Ruowen Qiu, Fukun ZhaoIn this paper, we study real solutions of the nonlinear Helmholtz equation −Δu−k2u=f(x,u),x∈RN, satisfying the asymptotic conditions u(x)=O|x|1−N2and∂2u∂r2(x)+k2u(x)=o|x|1−N2asr=|x|→∞.
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Threshold behavior of a stochastic predator–prey model with fear effect and regime-switching Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-26
Jing Ge, Weiming Ji, Meng LiuThis work proposes a stochastic predator–prey model with fear effect and regime-switching. It is testified that the dynamical behaviors of the model are determined by two thresholds F1 and G: if both F1 and G are positive, then the model admits a unique stationary distribution with the ergodic property; if F1 is positive and G is negative, then the predator population dies out and the prey population
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Positive recurrence of a stochastic heroin epidemic model with standard incidence and telegraph noise Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-25
Yu Chen, Xiaofeng ZhangThe heroin epidemic has posed a serious threat to public health and social stability. Understanding the dynamics of the heroin epidemic model is of great significance for formulating effective prevention and control strategies. In this paper, a stochastic heroin epidemic model with standard incidence and telegraph noise is considered. By constructing a suitable stochastic Lyapunov function with regime
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An effective operator splitting scheme for general motion by mean curvature using a modified Allen–Cahn equation Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-24
Zihan Cao, Zhifeng Weng, Shuying ZhaiWe present a fast and effective method for modeling general motion by mean curvature based on a modified Allen–Cahn equation. Employing the second-order operator time-splitting method, the original problem is discretized into three subproblems based on the different natures of each part of the model: the heat equation is solved by a Crank–Nicolson (CN) alternating direction implicit (ADI) finite difference
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Improvement of conditions for global solvability in a chemotaxis system with signal-dependent motility and generalized logistic source Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-23
Changfeng Liu, Jianping GaoThis paper deals with a chemotaxis system with signal-dependent motility ut=∇⋅(γ(v)∇u)−∇⋅(χ(v)u∇v)+λu−μulx∈Ω,t>0,vt=Δv−v+ux∈Ω,t>0,∂νu=∂νv=0x∈∂Ω,t>0,u(x,0)=u0(x)≥0,v(x,0)=v0(x)≥0x∈Ω, under homogeneous Neumann boundary conditions in a bounded domain Ω⊂Rn(n>2). If λ∈R and μ>0 are constants, we prove that this problem possesses a global classical solution that is uniformly bounded under the conditions
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Novel Razumikhin-type finite-time stability criteria of fractional nonlinear systems with time-varying delay Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-23
Shuihong Xiao, Jianli LiThis paper investigates the finite-time stability (FTS) of fractional-order nonlinear systems with time-varying delay (FONDSs). Unlike most of the existing literatures on FTS of fractional-order nonlinear delayed systems by means of establishing delayed integral inequalities, several Razumikhin-type Lyapunov conditions are presented in this paper. Using these results, we derive stability criteria for
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Dispersive shock waves in the fifth-order modified KdV equation Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-22
Dong-Rao Jing, Hai-Qiang Zhang, Nan-Nan WeiThis study focuses on the Whitham modulation theory of the fifth-order modified KdV equation (5mKdV), successfully deriving the solutions for modulated periodic waves and establishing corresponding Whitham equations. Through the detailed analysis of the initial step solution, the rarefaction waves and two types of dispersive shock wave structures are revealed. Our results not only enrich the theoretical
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Localized Hermite method of approximate particular solutions for solving the Poisson equation Appl. Math. Lett. (IF 2.9) Pub Date : 2025-01-21
Kwesi Acheampong, Huiqing ZhuIn this paper, we propose a localized Hermite method of approximate particular solutions (LHMAPS) for solving the Poisson equation. Unlike the localized method of approximate particular solutions (LMAPS) that approximates only function values of the solution in different local neighborhoods of collocation nodes by using particular solutions of radial basis functions, the proposed method employs mixed