个人简介

教育背景 2006年9月 ——2010年7月 华中师范大学 数学与统计学学院 数学与应用数学专业 理学学士 2010年9月 ——2012年7月 华中师范大学 数学与统计学学院 应用数学专业 基础数学偏微分方程方向 导师：朱长江 2012年9月 ——2015年7月 华中师范大学 数学与统计学学院 基础数学专业 基础数学偏微分方程方向 理学博士 导师：朱长江 工作经历 2015年7月——2018年12月 华侨大学数学科学学院 讲师 2019年1月——至今 华侨大学数学科学学院 副教授 主持项目 1.国家自然科学基金青年项目(11601165)可压缩Navier-Stokes-Poisson方程波的稳定性（17万元）201701-2019.12 2 福建省科技厅青年项目(2017J05007)有关微极流模型内流问题，外流问题和不可渗透墙问题的研究 201704-202004 3. 华大中青年培育型项目（ZQN-PY602），40万元，2018.11-一维可压缩Navier-Stokes/Allen-Cahn系统波的稳定性 4.国家自然科学基金面上项目(12071163) 可压缩非等熵Navier-Stokes/Allen-Cahn系统波的稳定性（51万元）2021.01-2024.12 学术交流成果 2013.05.14—2013.07.14香港中文大学访问数学系段仁军教授 2014.02.17—2014.04.17香港中文大学访问数学系 段仁军教授 2014.10.11—2014.11.11华侨大学访问数学科学学院张金顺教授 2016.11.1—2016.12.1香港中文大学访问数学系 段仁军教授

研究领域

基础数学研究方向

主要集中在流体力学中的各种物理模型及相关模型：带有碰撞的Euler-Maxwell方程、Euler-Poisson方程、Navier-Stokes-Poisson方程、Navier-Stokes-Maxwell方程以及液体——气体两相流模型解的存在性和大时间渐近性态。

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.Ruan Lizhi,Yin Haiyan*, Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion,J. Math. Phys.,53(10), 103703 (2012)pp28. 2.Cui Haibo, Wen Huanyao*,Yin Haiyan, Global classical solutions ofviscousliquid-gas two-phase flow model,Math. Methods Appl. Sci.,36(2013), 567-583. 3.Liu Qingqing,Yin Haiyan, Zhu Changjiang*,Asymptotic stability of the compressible Euler-Maxwell equations to Euler-Poisson equations,Indiana Univ. Math. J.,63(2014), 1085-1108. 4.Yin Haiyan, Zhu Changjiang*,Convergencerate of solutions towardstationary solutions to a viscous liquid-gas two-phase flow model in a half line,Commun. Pure Appl. Anal.,14(2015),2021-2042. 5.Liu Shuangqian,Yin Haiyan, Zhu Changjiang*,Stability of contact discontinuity for the Navier-Stokes-Poisson system with freeboundary,Comm. Math. Sci.,14(2015),1859-1887. 6.Duan Renjun,Liu Shuangqian,Yin Haiyan,Zhu Changjiang*,Stability of the rarefaction wave for a two-fluid plasma model with diffusion,Sci. China Math.,59(2016),67-84. 7.Jiang Mina, Lai Suhua,Yin Haiyan, Zhu Changjiang*,The stability of stationary solution for outflow problem on the Navier-Stokes-PoissonSystem,Acta Math. Sci. Ser. B Engl. Ed.,36(2016),1098-1116. 8.CuiHaibo, GaoZhensheng,YinHaiyan*,ZhangPeixing, Stationary waves to a two-fluid non-isentropic Navier-Stokes-Poisson system in a half line: existence, stability and convergence rate,Discrete Contin. Dyn. Syst.,36(2016), 4839-4870. 9.YinHaiyan,ZhangJinshun,ZhuChangjiang*, Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier-Stokes-Poisson system,Nonlinear Anal. Real World Appl.,31 (2016), 492-512. 10. Liu Qingqing,Yin Haiyan*,Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model,Nonlinear Analysis,149(2017), 41-55. 11. Cui Haibo,Yin Haiyan*. Stationary solutions to the micropolar fluid model in a half line: existence, stability and convergence rate,J. Math. Anal. Appl.449 (2017), no. 1, 464--489. 12.Yin, Haiyan. The stability of contact discontinuity for compressible planar magnetohydrodynamics.Kinet. Relat. Models,10(2017), no. 4, 1235--1253. 13.Yin, Haiyan. Stability of stationary solutions for inflow problem on the micropolar fluid model.Z. Angew. Math. Phys.,68(2017), no. 2, Art. 44, 13 pp. 14.Cui, Haibo;Yin, Haiyan. Stability of the composite wave for the inflow problem on the micropolar fluid model.Commun. Pure Appl. Anal.16 (2017), no. 4, 1265--1292. 15.Ruan Lizhi,Yin Haiyan,Zhu Changjiang,Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poissonsystem,Math. Methods Appl. Sci.40(2017),2784--2810. 16.Cui, Haibo,Yin, Haiyan,Zhang, Jinshun,Zhu, Changjiang.Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping.J. Differential Equations,264(2018),4564--4602. 17.Yin, Haiyan.Stability of stationary solutions for inflow problem on the planar magnetohydrodynamics.J. Math. Phys.59(2018), 023101, 15 pp. 18.Yin, Haiyan.Stability of composite wave for inflow problem on the planar magnetohydrodynamics.Nonlinear Anal. Real World Appl.44(2018),305--333. 19.Luo Ting,Yin, Haiyan,Zhu Changjiang*.Stability of the rarefaction wave for a coupled compressible Navier-Stokes/Allen-Cahn system.Math. Methods Appl. Sci.41(2018),4724--4736. 20.Cui, Haibo,Yin, Haiyan,Zhu, Changjiang, Zhu Limei.Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant,Sci. China Math.2018 21.Yin, Haiyan,Zhu, Changjiang*.Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier–Stokes/Allen–Cahn system,J. Differential Equations. 2019 22.Yin, Haiyan.Convergence rates of solutions toward stationarysolutions foroutow problem to the planarmagnetohydrodynamics in a half line,Proceedings of the Royal Society of Edinburgh Section A: Mathematics.2019. 23.Yin, Haiyan; Zhu, Limei*. Convergence rate of solutions toward stationary solutions to a two-phase model with magnetic field in a half line. Nonlinear Anal. Real World Appl. 51 (2020), 102939, 20 pp. 24. Luo Ting; Yin, Haiyan; Zhu Changjiang*. Stability of the composite wave for compressible Navier–Stokes/Allen–Cahn system. Mathematical Models and Methods in Applied Sciences, 30(2020), 343-385. 25. Ding, Qisheng; Yin, Haiyan*. Asymptotic stability of viscous shock profiles for compressible planar magnetohydrodynamics system. Z. Angew. Math. Phys. 72 (2021), no. 1, Paper No. 11, 20 pp.