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数学与统计公司教师简介——张映辉

发布时间：2019-03-07 浏览次数：12854

张映辉

博士，教授，博士生导师，

广西杰出青年基金获得者，广西高等学校中青年骨干教师，bat365在线官网登录A类漓江学者。

Email:zhangyinghui0910@126.com



讲授课程

1.本科生课程：《数学分析》、《常微分方程》、《偏微分方程》等

2.研究生课程：《Sobolev空间》、《现代偏微分方程》等


研究方向

流体力学中的偏微分方程﹑生物数学的理论与应用研究、数学教育



代表论著

专著

  1. Yinghui Zhang(通讯作者), Zhong Tan, Mathematical analysis of Navier-Stokes equations and related models,  LAP Lambert Academic Publishing，Germany, 2014.

  2. Guochun Wu, Yinghui Zhang(通讯作者), Decay rates of the compressible Euler equations and related model, LAP Lambert Academic Publishing，Germany, 2021.

论文

  1. Guochun Wu, Yinghui Zhang(通讯作者), Lan Zou, Optimal large time behavior of the two-phase fluid model in the whole space, SIAM Journal on Mathematical Analysis, 52(6)(2020), 5748-5774. (二区，中国数学会T2)

  2. Guochun Wu, Yinghui Zhang(通讯作者), Weiyuan Zou, Optimal time-decay rates for the 3D compressible Magnetohydrodynamic flows with discontinuous initial data and large oscillations, Journal of the London Mathematical Society, 103（2）(2021), 813-845. (二区，中国数学会T2)

  3. Guochun Wu, Yinghui Zhang(通讯作者), Anzhen Zhang. Global existence and time decay rates for the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities, Science China Mathematics, 65（4）(2022), 731-752.(一区，中国数学会T1)

  4. Yinghui Zhang(通讯作者), Ronghua Pan, Zhong Tan, Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations,Science China Mathematics, 56(11)2013, 2205–2232.(一区，中国数学会T1)

  5. Yinghui Zhang, Local well-posedness of the free-surface incompressible elastodynamics, Journal of Differential Equations,268 (2020), 6971–7011. (二区，中国数学会T2)

  6. Yinghui Zhang,Weak solutions for an inviscid two-phase flow model in physical vacuum, Journal of Differential Equations, 265（12）(2018), 6251–6294.(二区，中国数学会T2)

  7. Yinghui Zhang, Changjiang Zhu, Global existence and optimal convergence rates for the strong solutions in  to the 3D viscous liquid-gas two-phase flow model, Journal of Differential Equations, 258 (7) (2015), 2315–2338. (二区，中国数学会T2)

  8. Yunfei Su, Guochun Wu, Lei Yao,Yinghui Zhang, Global existence and optimal convergence rates for the strong solutions in  to the 3D viscous liquid-gas two-phase flow model, Journal of Differential Equations, 432 (2023), 193–238. (二区，中国数学会T2)

  9. Guochun Wu, Juan Wang, Yinghui Zhang(通讯作者), Optimal large time behaviour of the 3Dcompressible magnetohydrodynamicsequations with large initial data, Nonlinearity, 35 (2022)，5593–5620.(三区，中国数学会T2)

  10. Guochun Wu, Yinghui Zhang(通讯作者), Global well-posedness and large time behavior of the viscous liquid-gas two-phase flow model in R^3, Proceedings of the Royal Society of Edinburgh Section A Mathematics, 150 (2020)，1999–2024.(三区，中国数学会T2)

  11. Yinghui Zhang(通讯作者), Ronghua Pan, Yi Wang, Zhong Tan, Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equations, Indiana University Mathematics Journal,22(4)(2013), 83.(三区，中国数学会T2)

  12. Zhengyan Luo, Yinghui Zhang(通讯作者),  Optimal large-time behavior of solutions to the full compressible Navier-Stokes equations with Large initial data,Journal of Evolution Equeations, 62(1)(2022), 249–309.(三区，中国数学会T2)

  13. Yinghui Zhang, Decay of the 3D inviscid liquid–gas two-phase flow model, Zeitschrift für angewandte Mathematik und Physik , 67 (54) (2016), 1–22.(二区，中国数学会T2)

  14. Yinghui Zhang, Juan Wang, Changguo Xiao, Lintao Ma,Global existence and time decay rates of the two-phase fluid system in R^3, Zeitschrift für angewandte Mathematik und Physik ,72 (180) (2021), 1–28.(二区，中国数学会T2)

  15. Yinghui Zhang, Decay of the 3D viscous liquid-gas two-phase flow modelwith damping, Journal of Mathematical Physics , 081517,2016. (三区，中国数学会T2)

  16. Yinghui Zhang(通讯作者), Zhong Tan, Blow-up of smooth solutions to the compressible fluid models of Korteweg type, Acta Mathematica Sinica, English Series, 28(3)2012, 645–652.(二区，中国数学会T1)

  17. Zhong Tan, Yinghui Zhang(通讯作者), Shape optimization in two-dimensional viscous compressible fluids, Acta Mathematica Sinica, English Series, 26(9)2010, 1793–1806.(二区，中国数学会T1)

  18. Yinghui Zhang(通讯作者), Guochun Wu, Global existence and asymptotic behavior for the 3D compressible non-isentropic Euler equations with damping,Acta Mathematica Scientia,34B(2)(2014), 424–434.(二区，中国数学会T2)

  19. Yinghui Zhang(通讯作者), Guochun Wu, The 3D Non-isentropic Compressible Euler Equationswith Damping in a Bounded Domain, Chinese Annals of Mathematics, Series B, 37(6)(2016): 915–928.(二区，中国数学会T2)

  20. Zhong Tan, Yinghui Zhang(通讯作者), Strong solutions of the coupled Navier-Stokes-Poisson equations for isentropic compressible fluids, Acta Mathematica Scientia,30B(4)(2010), 1280–1290.(二区，中国数学会T2)

  21. Yinghui Zhang(通讯作者),Zhong Tan, Asymptotic behavior of solutions to the Navier-Stokes equations of a two-dimensional compressible flow, Acta Mathematicae Applicatae Sinica, English Series, 27(4)2011, 697–712.(二区，中国数学会T2)

  22. Yinghui Zhang(通讯作者), Haiying Deng, Ming-Bao Sun, Global analysis of smooth solutions to a hyperbolic-parabolic coupled system, Frontiers of Mathematics in China, 8(6)2013, 1437-1460.(二区，中国数学会T2)

  23. Juan Wang,Yinghui Zhang(通讯作者), Optimal decay rate for higher–order derivatives of solution to the 3D compressible quantum magnetohydrodynamic model, Advances in Nonlinear Analysis, 11 (2022), 830-849.(一区，中国数学会T3)

  24. Juan Wang, Changguo Xiao,Yinghui Zhang(通讯作者),Optimal large time behavior of the compressible Navier–Stokes–Korteweg system in R^3, Applied Mathematics Letters, 120 (2021), 107274.(一区，中国数学会T3)

  25. Liuna Qin,Yinghui Zhang(通讯作者), Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations,Applied Mathematics Letters, 133 (2022), 108286.(一区，中国数学会T3)

  26. Liuna Qin,Yinghui Zhang(通讯作者),Optimal decay rates for higher-order derivatives of solutions to the 3D compressible micropolar flfluids system, Journal of Mathematical Analysis and Applications, 512 (2022), 126116.(三区，中国数学会T3)

  27. Guochun Wu, Yinghui Zhang(通讯作者),Global analysis of strong solutions for the viscous liquid-gas two-phase flow model in a bounded domain, Discrete and Continuous Dynamical System – B, 23(4) (2018), 1411–1429.(三区，中国数学会T3)

  28. Yinghui Zhang(通讯作者), Zhong Tan, Ming-Bao Sun,Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system, Nonlinear Analysis: Real World Applications, 14(2013), 465–482.(一区，中国数学会T3)

  29. Han Wang, Yinghui Zhang(通讯作者), Optimal time-decay rates of the 3D compressible nematic liquid crystal flows with discontinuous initial data and large oscillations, Nonlinear Analysis: Theory, Methods & Applications,222(2022), 112925.(二区，中国数学会T3)

  30. Yinghui Zhang(通讯作者), Zhong Tan,Ming-Bao Sun, Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system, Nonlinear Analysis: Theory, Methods & Applications,74(2011), 2249–2261.(二区，中国数学会T3)

  31. Yinghui Zhang(通讯作者), Zhong Tan, Existence and asymptotic behavior of global smooth solution for p-System with damping and boundary effect, Nonlinear Analysis: Theory, Methods & Applications,72(2010), 2499–2513. (二区，中国数学会T3)

  32. Qing Chen, Guochun Wu, YinghuiZhang(通讯作者), Lan Zou. Optimal time decay rates for the compressible Navier-Stokes  system with and without Yukawa-type potential. Electronic Journal of Differential Equations(2020), 2020(102): 1-25.(四区)

  33. Liuna Qin, Changguo Xiao, YinghuiZhang(通讯作者).Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force.Electronic Journal of Differential Equations(2022), 64.(四区)

  34. Yinghui Zhang(通讯作者), Zhong Tan, On the existence of solutions to the Navier-Stokes-Poissonequations of a two-dimensional compressible flow, Mathematical Methods in the Applied Sciences, (30)(2007), 305–329.(三区)

  35. Yinghui Zhang, Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping, Applicable Analysis, 98(11)(2019), 2048–2063.(三区)

  36. Lianhong Guo, Yinghui Zhang(通讯作者), The 3D quasilinear hyperbolic equations with nonlinear damping in a general unbounded domain, Annales Polonici Mathematici, 121.2(2018),133–155.(四区)

  37. Guochun Wu, Han Wang,Yinghui Zhang(通讯作者), Optimal time-decay rates of the compressibleNavier--Stokes--Poisson system in R^3, Electronic Research Archive,29(6)(2021), 3889–3908.



主持科研项目情况

  1. 国家自然科学基金面上项目:具有相等压强的非守恒可压缩两相流模型的数学理论研究（12271114），在研。

  2. 国家自然科学基金青年项目:两类非线性双曲-抛物耦合方程的粘性消失极限问题（11301172），已结题。

  3. 国家自然科学基金天元青年基金项目:非等熵可压缩 Navier–Stokes 方程的零耗散极限问题（11226170），已结题。

  4. 广西杰出青年科学基金项目：偏微分方程（2019JJG10003）， 在研。

  5. 广西科技计划人才专项项目：具有磁场效应的两相流模型的衰减率研究（2019AC20214），在研。

  6. 国家自然科学基金面上项目子项目：可压缩 Navier–Stokes–Vlasov–Fokker–Planck方程及相关模型解的适定性（11771150），已结题。

  7. 国家自然科学基金面上项目子项目：可压缩非守恒两相流模型的若干数学问题（11571280），已结题。

  8. 湖南省自然科学基金面上项目：液体–气体两相流模型初边值问题的研究（2017JJ2105），已结题。

  9. 湖南省自然科学基金青年项目：Navier–Stokes 方程的零耗散极限问题研究（13JJ4095），已结题。

  10. 中国博士后科学基金：可压 Navier–Stokes 方程的粘性消失极限问题研究（2012M511640），已结题。

  11. 湖南省教育厅优秀青年项目：两类非线性偏微分方程初值问题的适定性和零耗散极限（14B077），已结题（鉴定为优秀）。

  12. 湖南省教育厅一般项目：Navier–Stokes方程的消失的粘性极限问题（11C0628），已结题。


获奖情况

  1. 成果“次黎曼流形上的分析和非线性偏微分方程若干问题的研究”获湖南省自然科学奖三等奖（2/2），2017年。

  2. 成果“两类流体力学方程的适定性和零耗散极限”获岳阳市科学技术进步奖二等奖(1/2)，2016年。

  3. 广西杰出青年科学基金，2019年。

  4. bat365在线官网登录博士生导师，2019年。

  5. bat365在线官网登录A类漓江学者，2019年。

  6. 广西高等学校中青年骨干教师，2019年。

  7. bat365在线官网登录优秀班主任，2021年。

  8. bat365在线官网登录2020-2022优秀教师，2022年。

  9. 湖南省普通高校教学竞赛二等奖，2011年。


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