Weike Wang ( 王维克 ) - 上海交通大学

个人简介

Brief Introduction Weike Wang, Distinguished professor, obtained his B.S. and Ph.D. from the Department of Mathematics, Wuhan University, with one year in University of Rennes I, France, as visiting scholar when pursuing his Ph.D. studies. He became a full professor since 1993 and served as chair of Department of Mathematics and later dean of School of Mathematics and Computer Sciences of Wuhan University from 1997 to 2000. In November 2002, he was appointed as dean of Department of Mathematics, Shanghai Jiao Tong University, and delegated his duty for the following 8 years. He has long been engaged in partial differential equations research, in 2011 he presided over won the first prize of Natural Science Award of Shanghai. In 2014, as the main participant, he was granted the first prize of Teaching Achievement by the Ministry of Education. The same year, he was also nominated for 2014 Outstanding Award of Baosteel Exemplary Teacher. During the past years, he used to be executive member of Chinese Mathematical Society and China Society for Industrial and Applied Mathematics, and took charge of Shanghai Mathematical Society as Vice-Chairman. Currently, he has served as editor in chief of the international mathematics journal Communications on Pure and Applied Analysis. Current Researches Green’s Function and its Application in Nonlinear Evolution Equations Hydro Dynamics Equations in Multi-Physics Coupling Processes

研究领域

Nonlinear Partial Differential Equation Theory and Applications

近期论文

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2017-2020 Liu, Guowei; Wang, Weike， Decay estimates for a dissipative-dispersive linear semigroup and application to the viscous Boussinesq equation. J. Funct. Anal. 278 (2020), no. 7, 108413, 21 pp. Wu, Zhigang; Wang, Weike Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three. J. Differential Equations 269 (2020), no. 10, 7906–7930. Li, Kaiqiang; Wang, Weike; Yang, Xiongfeng Asymptotic stability of rarefaction waves to a radiation hydrodynamic limit model. J. Differential Equations 269 (2020), no. 2, 1693–1717. Li, Kaiqiang; Wang, Weike， Pointwise stability of shock wave for 2D anisotropic viscous conservation laws with large perturbation. Nonlinear Anal. Real World Appl. 52 (2020), 103045, 24 pp. Shi, Binbin; Wang, Weike Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation. Commun. Math. Sci. 18 (2020), no. 5, 1413–1440. Wang, Weike; Wang, Yucheng , Global existence and large time behavior for the chemotaxis-shallow water system in a bounded domain. Discrete Contin. Dyn. Syst. 40 (2020), no. 11, 6379–6409. Wang, Weike; Xu, Xin, Global well-posedness for systems of hyperbolic-parabolic composite type with center manifold. J. Math. Anal. Appl. 490 (2020), no. 2, 124320, 15 pp. Shi, Binbin; Wang, Weike Existence and blow up of solutions to the 2D Burgers equation with supercritical dissipation. Discrete Contin. Dyn. Syst. Ser. B 25 (2020), no. 3, 1169–1192. Liu, Guowei; Wang, Weike Inviscid limit for the damped Boussinesq equation. J. Differential Equations 267 (2019), no. 9, 5521–5542. Wang, Lijuan; Wang, Weike， Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms. Commun. Pure Appl. Anal. 18 (2019), no. 5, 2835–2854. Wang, Wei-ke; Wang, Yu-tong The well-posedness of solution to semilinear pseudo-parabolic equation. Acta Math. Appl. Sin. Engl. Ser. 35 (2019), no. 2, 386–400. Wang, Yutong; Wang, Weike Global regularity for 3D magneto-hydrodynamics equations with only horizontal dissipation. Front. Math. China 14 (2019), no. 1, 149–175. Wang, Weike; Wang, Yucheng The Lp decay estimates for the chemotaxis-shallow water system. J. Math. Anal. Appl. 474 (2019), no. 1, 640–665. Liu, Guowei; Wang, Weike Well-posedness and scattering of small amplitude solutions to Boussinesq paradigm equation. Nonlinear Anal. Real World Appl. 48 (2019), 141–160. 王维克，Green函数与非线性发展方程解的大时间状态，中国科学：数学，49（2019），no.2,249-266. Wang, Weike; Xue, Rui, Decay Estimate and Global Existence of Semilinear Thermoelastic Timoshenko System with Two Damping Effects，Acta Mathematica Scientia, 39(6)（2019）, 1461-1486. Li, Kaiqiang; Wang, Weike, Decay of solutions to anisotropic conservation laws with large initial data. J. Math. Anal. Appl. 468 (2018), no. 2, 674–694. 35L45 (35B40) Wu, Zhigang; Wang, Weike, Green's function and pointwise estimate for a generalized Poisson-Nernst-Planck-Navier-Stokes model in dimension three. ZAMM Z. Angew. Math. Mech. 98 (2018), no. 7, 1066–1085. Wu, Zhigang; Wang, Weike, The pointwise estimates of diffusion wave of the compressible micropolar fluids. J. Differential Equations 265 (2018), no. 6, 2544–2576. 王利娟, 王维克, 徐鑫，带非局部耗散项的守恒律方程大扰动解的整体存在性，中国科学: 数学2018 年第48 卷第5 期: 589∼608. Deng, Shijin; Wang, Weike Half space problem for Euler equations with damping in 3-D. J. Differential Equations 263 (2017), no. 11, 7372–7411. Wu, Zhigang; Wang, Weike Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three. Arch. Ration. Mech. Anal. 226 (2017), no. 2, 587–638. Wu, Zhigang; Wang, Weike Generalized Huygens' principle for a reduced gravity two and a half layer model in dimension three. Kinet. Relat. Models 10 (2017), no. 4, 1205–1233. Racke, Reinhard; Wang, Weike; Xue, Rui Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects. Math. Methods Appl. Sci. 40 (2017), no. 1, 210–222. 2011-2016 Shi, Renkun; Wang, Weike, Nonlinear Stability of Large Perturbation around the Viscous Shock Wave for the 2D Scalar Viscous Conservation Law，Indiana University Mathematics Journal , Vol. 65 (2016), No. 4，1137-1182. Wang, Wenjun; Wang, Weike, Large time behavior for the system of a viscous liquid-gas two-phase flow model in R^3. J. Differential Equations 261 (2016), no. 10, 5561–5589. Chen, Jiao; Li, Yachun; Wang, Weike, Global classical solutions to the Cauchy problem of conservation laws with degenerate diffusion. J. Differential Equations 260 (2016), no. 5, 4657–4682. Deng, Shijin; Wang, Weike; Yu, Shih-Hsien, Green’s functions of wave equations in Rn+ × R+. Arch. Ration. Mech. Anal. 216 (2015), no. 3, 881C903. Shi, Renkun; Wang, Weike, Well-posedness for a model derived from an attraction-repulsion chemotaxis system. J. Math. Anal. Appl. 423 (2015), no. 1, 497C520. Wang, Weike; Xu, Xin Large time behavior of solution for the full compressible Navier-Stokes-Maxwell system. Commun. Pure Appl. Anal. 14 (2015), no. 6, 2283–2313. Deng, Shijin; Wang, Weike; Yu, Shih-Hsien, Bifurcation on boundary data for linear broadwell model with conservative boundary condition. J. Hyperbolic Diﬀer. Equ. 11 (2014), no. 3, 603C619. Deng, Shijin; Wang, Weike, Pointwise decaying rate of large perturbation around viscous shock for scalar viscous conservation law. Sci. China Math. 56 (2013), no. 4, 729C736. Wang, Wenjun; Wang, Weike, Blow up and global existence of solutions for a model system of the radiating gas. Nonlinear Anal. 81 (2013), 12C30. Deng, Shijin; Wang, Weike and Yu, Shih-Hsien, Linear and Nonlinear Wave Propagation over a Viscous Shock Proﬁle, SIAM Journal on Mathematical Analysis, Vol. 44 (2012), No. 4, 2695-2755. Deng, Shijin; Wang, Weike; Yu, Shih-Hsien , Broadwell Model and Conservative Supersonic Boundary, Arch. Rational Mech. Anal. 200 (2011). Deng, Shijin; Wang, Weike, Pointwise estimates of solutions for the multi-dimensional scalar conservation laws with relaxation. Discrete Contin. Dyn. Syst. 30 (2011), no. 4, 1107-1138. 2006-2010 Wang, Weike, Nonlinear evolution systems and Green’s function. Acta Math. Sci. Ser. B 30 (2010), no. 6, 2051-2063. Wu, Zhigang; Wang, Weike, Pointwise estimates of solutions for the Euler-Poisson equations with damping in multi-dimensions. Discrete Contin. Dyn. Syst. 26 (2010), no. 3, 1101-1117. Wang, Weike; Wu, Zhigang, Pointwise estimates of solution for the Navier-Stokes-Poisson equations in multi-dimensions. J. Diﬀerential Equations 248 (2010), no. 7, 1617-1636. Liao, Jie; Wang, Weike; Yang, Tong, Lp convergence rates of planar waves for multi-dimensional Euler equations with damping. J. Diﬀerential Equations 247 (2009), no. 1, 303-329. Deng, Shijin; Wang, Weike, The Broadwell model with a subsonic boundary. Nonlinear Anal. 69 (2008), no. 11, 3849-3865. Liu, Yongqin; Wang, Weike, Well-posedness of the IBVP for 2-D Euler equations with damping. J. Diﬀerential Equations 245 (2008), no. 9, 2477-2503. Deng, Shijin; Wang, Weike; Yu, Shih-Hsien, Pointwise convergence to Knudsen layers of the Boltzmann equation. Comm. Math. Phys. 281 (2008), no. 2,287-347. Wang, Weike; Yang, Tong Existence and stability of planar diffusion waves for 2-D Euler equations with damping. J. Differential Equations 242 (2007), no. 1, 40–71. Wang, Weike; Yang, Tong; Yang, Xiongfeng Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. J. Math. Phys. 48 (2007), no. 7, 073304, 21 pp. Wang, Weike The pointwise estimate of solutions for Navier-Stokes equations in multi-dimensions. Hyperbolic problems: theory, numerics and applications. I, 205–212, Yokohama Publ., Yokohama, 2006, Wang, Weike; Yang, Tong; Yang, Xiongfeng Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials. J. Math. Phys. 47 (2006), no. 8, 083301, 15 pp. 2001-2005 Wang, Weike; Xu, Chao-Jiang The Cauchy problem for viscous shallow water equations. Rev. Mat. Iberoamericana 21 (2005), no. 1, 1–24. Liu, Yongqin; Wang, Weike Global existence of solution to the Camassa-Holm equation. Nonlinear Anal. 60 (2005), no. 5, 945–953. Wang, Weike; Yang, Tong， Pointwise estimates and $L_p$ convergence rates to diffusion waves for $p$-system with damping. J. Differential Equations 187 (2003), no. 2, 310–336. Wang, Weike; Yang, Tong The pointwise estimates of solutions for Euler equations with damping in multi-dimensions. J. Differential Equations 173 (2001), no. 2, 410–450. 1994-2000 Nishihara, Kenji; Wang, Weike; Yang, Tong $L_p$-convergence rate to nonlinear diffusion waves for $p$-system with damping. J. Differential Equations 161 (2000), no. 1, 191–218. Liu, Tai-Ping; Wang, Weike， The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions. Comm. Math. Phys. 196 (1998), no. 1, 145–173. Wang, Weike， Interaction of three progressing waves with different singularities for semilinear wave equations. Nonlinear evolutionary partial differential equations (Beijing, 1993), 571–575, AMS/IP Stud. Adv. Math., 3, Amer. Math. Soc., Providence, RI, 1997. Wang, Weike， Interaction of shock and conormal singularities for conservation laws. Comm. Partial Differential Equations 19 (1994), no. 7-8, 1037–1073.