李亚男 - 哈尔滨工程大学

个人简介

李亚男，理学博士。现研究方向是非线性发展方程与无穷维动力系统，研究兴趣是时间依赖相空间中吸引子的稳定性理论等，侧重关注Kirchhoff波动方程、带有时间依赖记忆项的粘弹性模型等不同类型的非线性发展方程的解的长时间动力学行为及关于扰动作用的稳定性行为，多篇文章发表在JDE、DCDS、JDDE等期刊。现每年可招收硕士研究生2名工作经历 2020.07——至今哈尔滨工程大学数学科学学院副教授

研究领域

非线性发展型偏微分方程，无穷维动力系统

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

1、Li Yanan, Yang Zhijian. Continuity of the attractors in time-dependent spaces and applications, Journal of Mathematical Analysis and Applications(2022),DOI: 10.1016/j.jmaa.2023.127081. 2、 Li Yanan, Yang Zhijian. Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels,Journal of Dynamics and Differential Equations(2021). https://doi.org/10.1007/s10884-021-10035-z. 3、Li Yanan, Yang Zhijian. Strong attractors and their continuity for the semilinear wave equations with fractal damping, Advances in Differential Equations, 26 (2021) 45-82. 4、Li Yanan, Yang Zhijian， Feng Na. Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models, Discrete and Continuous Dynamical Systems Series B, (2021). 5、Li Yanan, Yang Zhijian. Optimal attractors of the Kirchhoff wave model with structural nonlinear damping, Journal of Differential Equations 268 (2020) 7741-7773. 6、Li Yanan, Alexandre. N. Carvalho, Tito Luna, Estefani Moreira. A non-autonomous bifurcation problem for a non-local scalar one dimensional parabolic equation, Communications on Pure and Applied Analysis, 19(2020): 5181-5196. 7、Li Yanan, Yang Zhijian, Ding Pengyan. Regular solutions and strong attractors for the Kirchhoff wave model with structural nonlinear damping, Applied Mathematics Letters, 104 (2020) 106258. 8 、 Yang Zhijian, Feng Na, Li Yanan. Robust attractors for a Kirchhoff-Boussinesq type equation, Evolution Equations and Control Theory, 9 (2020) 469-486. 9、Li Yanan, Yang Zhijian. Robustness of attractors for non-autonomous Kirchhoff wave models with strong nonlinear damping, Applied Mathematics and Optimization (2019) 1-28. 10、 Li Yanan, Yang Zhijian, Da Fang. Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping, Discrete and Continuous Dynamical Systems, 39 (2019) 5975-6000. 11、Yang Zhijian, Li Yanan. Upper semicontinuity of pullback attractors for non-autonomous Kirchhoff wave equations, Discrete and Continuous Dynamical Systems Series B, 24 (2019) 4899-4912. 12、 Yang Zhijian, Li Yanan. Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models, Discrete and Continuous Dynamical Systems, 38 (2018) 2629-2653. 13、 Ding Pengyan, Yang Zhijian, Li Yanan. Global attractor of the Kirchhoff wave models with strong nonlinear damping, Applied Mathematics Letters, 76 (2018) 40-45.