偏微分方程

   

070104-应用数学

非线性偏微分方程

2004-09--2007-07   中科院数学与系统科学研究院   博士

-- 研究生

-- 博士

• 2007年7月，访问瑞士苏黎世联邦工学院；

• 2010年5月，访问日本大阪大学数学系和日本九州大学数学系；

• 2010年9月-2011年9月，访问香港中文大学数学科学研究所；

• 2011年11月-2012年1月，访问香港城市大学数学系；

• 2012年6月，访问意大利帕多瓦大学；

• 2013年6月，访问韩国首尔国立大学数学系；

• 2013年9月，访问日本东京工业大学数学系；

• 2014年12月, 访问台湾中央研究院数学研究所；

• 2015年5月，访问美国匹兹堡大学数学系；

• 2015年8月，访问美国乔治亚理工学院数学系；

• 2014年12月-2015年12月，访问美国德克萨斯大学奥斯汀分校数学系；

• 2016年8月，访问德国亚琛工业大学；

• 2019年9月，访问捷克科学院数学研究所；

• 2024年2月，访问美国德克萨斯大学奥斯汀分校数学系，堪萨斯大学数学系，匹兹堡大学数学系；

2017-02~现在, 中国科学院, 特聘研究员
2016-03~现在, 中国科学院数学与系统科学研究院, 研究员
2014-12~2015-12,美国德克萨斯大学奥斯汀分校, Visiting Professor
2011-03~2016-03,中科院数学与系统科学研究院, 副研究员
2010-09~2011-09,香港中文大学数学科学研究所, 博士后(post-doctor fellowship)
2007-07~2011-02,中科院数学与系统科学研究院, 助理研究员

2021-08-15-今,国际杂志《Comm. Math. Apl. Anal.》编委, 编委

微积分I-A
微积分II-A
科学前沿进展名家系列讲座IV
微积分III
偏微分方程
微积分I-A习题课
现代偏微分方程理论
微积分I习题-A03-1
双曲型偏微分方程
偏微分方程概论

   

（1） 优秀教师奖, 特等奖, 研究所（学校）, 2024
（2） 国家万人计划-科技创新领军人才, , 国家级, 2023
（3） 中国科学院数学与系统科学研究院2023年科研进展奖, 特等奖, 研究所（学校）, 2023
（4） 中国科协第三届优秀科技论文奖, 特等奖, 部委级, 2018
（5） 中国科学院青年创新促进会优秀会员, 特等奖, 部委级, 2018
（6） 国家万人计划－青年拔尖人才, , 国家级, 2015
（7） 2015年朱李月华优秀教师奖, 特等奖, 院级, 2015
（8） 国家自然科学基金委优秀青年基金获得者, , 国家级, 2013
（9） "陈景润未来之星"计划入选者, , 研究所（学校）, 2011
（10） 北京市优秀博士论文奖, , 省级, 2008
（11） 中国科学院院长优秀奖, , 部委级, 2007
（12） Euler应用数学奖, , 其他, 2007
（13） 数学与系统科学研究院院长特等奖, 特等奖, 研究所（学校）, 2006

[1]. Moon-Jin Kang, Alexis F. Vasseur, Yi Wang. Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations. Advances in Mathematics,  419 (2023), 108963. http://dx.doi.org/10.1016/j.aim.2023.

[2]. Teng Wang, Yi Wang. Nonlinear stability of planar viscous shock wave to three-dimensional compressible Navier-Stokes equations. Journal of the European Mathematical Society, acceptted, (2023).

[3]. Xin-xiang Bian, Yi Wang, Lingling Xie. Vanishing viscosity limit to planar rarefaction wave with vacuum for 3D compressible Navier-Stokes equations. Communications in Mathematical Analysis and Applications, 2 (2023), 21-69.

[4]. Hailiang Li, Teng Wang, Yi Wang, Wave phenomena to the three-dimensional fluid-particle model, Archive for Rational Mechanics and Analysis, 243 (2022), no. 2, 1019-1089.

[5]. Lin-An Li, Dehua Wang, Yi Wang, Vanishing dissipation limit to the planar rarefaction wave for the three-dimensional compressible Navier-Stokes-Fourier equations, Journal of Functional Analysis, 283 (2022), no. 2, Paper No. 109499, 50 pp.

[6]. Moon-Jin Kang, Alexis F.  Vasseur,  Yi Wang, Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from Navier-Stokes-Fourier system. Comm. Math. Phys. 384 (2021), no. 3, 1751-1782.

[7]. Teng Wang, Yi Wang, Large-time behaviors of the solution to 3D compressible Navier-Stokes equations in half space with Navier boundary condition, Commun. Pure Appl. Anal., 20 (2021), no. 7-8, 2811-2838.

[8]. Lin-An Li, Dehua Wang, Yi Wang,Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier–Stokes Equations, Communications in Mathematical Physics, 376 (2020), 353-384.

[9]. Yi Wang, Bijun Zuo, Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain, J. Differential Equations, 268 (2020), no. 8, 4079-4101.

[10]. Moon-Jin Kang, Alexis F.  Vasseur,  Yi Wang, L2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws, J. Differential Equations 267 (2019), no. 5, 2737-2791.

[11]. Teng Wang, Yi Wang, Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation, Kinet. Relat. Models 12 (2019), no. 3, 637-679.

[12]. Lin-an Li, Teng Wang, Yi Wang, Stability of planar rarefaction wave to 3D full compressible Navier–Stokes equations, Arch. Ration. Mech. Anal. 230 (2018), no. 3, 911-937.

[13]. Lin-an Li, Yi Wang, Stability of planar rarefaction wave to two-dimensional compressible Navier--Stokes equations, SIAM J. Math. Anal., 50 (2018), 4937-4963.

[14]. Hailiang Li, Teng Wang, Yi Wang, Stability of the superposition of a viscous contact wave with two rarefaction waves to the bipolar Vlasov-Poisson -Boltzmann system. SIAM J. Math. Anal., 50 (2018), 1829-1876.

[15]. Hailiang Li, Yi Wang, Tong Yang,  Mingying Zhong, Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann System. Arch. Rational Mech. Anal., 228 (2018), 39-127.

[16]. Quansen Jiu, Yi Wang,  Zhouping Xin, Global classical solution to two-dimensional compressible Navier–Stokes equations with large data in R^2, Physica D, 376/377 (2018), 180-194.

[17].  Zhenhua Guo, Mei Wang, Yi Wang, Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data. Nonlinear Anal. Real World Appl., 40 (2018), 260-289.

[18]. Feimin Huang,  Yi Wang, Yong Wang, Tong Yang, Justification of limit for the  Boltzmann equation related to Korteweg theory. Quart. Appl. Math., 74  (2016), no. 4, 719-764.

[19]. Xiaohong Qin,  Teng Wang, Yi Wang, Global stability of wave patterns for  compressible Navier-Stokes system with free boundary. Acta Math. Sci.  Ser. B Engl. Ed., 36 (2016), no. 4, 1192-1214.

[20]. Mingjie Li,  Teng Wang, Yi Wang, The limit to rarefaction wave with vacuum  for 1D compressible fluids with temperature-dependent transport  coefficients. Anal. Appl. (Singap.) 13 (2015), no. 5, 555-589.

[21]. Teng Wang,  Yi Wang, Stability of superposition of two viscous shock waves  for the Boltzmann equation. SIAM J. Math. Anal. 47 (2015), no. 2,  1070-1120.

[22]. Feimin Huang, Yi Wang, Yong Wang, Tong Yang, Vanishing viscosity of  isentropic Navier-Stokes equations for interacting shocks. Sci. China  Math. 58 (2015), no. 4, 653-672.

[23]. Alexis F. Vasseur, Yi Wang, The inviscid limit to a contact discontinuity for the compressible Navier-Stokes-Fourier system using the relative entropy method. SIAM J. Math. Anal. 47 (2015), no. 6, 4350-4359.

[24].  Quansen Jiu, Yi Wang,  Zhouping Xin, Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. J. Math. Fluid Mech. 16 (2014), no. 3, 483-521.

[25]. Seung-Yeal Ha, Feimin Huang,  Yi Wang, A global unique solvability of entropic weak solution to the  one-dimensional pressureless Euler system with a flocking dissipation. J. Differential Equations 257 (2014), no. 5, 1333-1371.

[26]. Feimin Huang, Yi Wang, Yong Wang, Tong Yang, The limit of the Boltzmann equation to the Euler equations for Riemann problems. SIAM J. Math. Anal. 45 (2013), no. 3, 1741-1811.

[27]. Feimin Huang,  Song Jiang, Yi Wang, Zero dissipation limit of full compressible Navier-Stokes equations with a Riemann initial data. Commun. Inf. Syst. 13 (2013), no. 2, 211-246.

[28]. Yinghui Zhang,  Ronghua Pan, Yi Wang, Zhong Tan,  Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equations. Indiana Univ. Math. J. 62 (2013), no. 1, 249-309.

[29].  Quansen Jiu,  Yi Wang, Zhouping Xin, Vacuum behaviors around rarefaction waves to 1D compressible Navier-Stokes equations with density-dependent viscosity. SIAM J. Math. Anal. 45 (2013), no. 5, 3194-3228.

[30]. Feimin Huang, Yi Wang, Tong Yang, Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem. Arch. Ration. Mech. Anal. 203 (2012), no. 2, 379-413.

[31].  Feimin Huang, Mingjie Li, Yi Wang, Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible Navier-Stokes equations. SIAM J. Math. Anal. 44 (2012), no. 3, 1742-1759.

[32].  Xiaohong Qin, Yi Wang, Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations. SIAM J. Math. Anal. 43 (2011), no. 1, 341-366.
[33]. Xiaohong Qin, Yi Wang, Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations，SIAM J. Math. Anal., 43 (2011), no. 1, 341-366
[34]. Feimin Huang, Yi Wang, Tong Yang, Fluid dynamic limit to the Riemann solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity，Kinet. Relat. Models, 3 (2010), no. 4, 685-728.
[35]. Buyang Li, Weiwei Sun, Yi Wang, Global existence of weak solution to the heat and moisture transport system in fibrous porous media，J. Differential Equations, 249 (2010), no. 10, 2618-2642.

[36]. Feimin Huang, XiaodingShi, Yi Wang, Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary，Kinet. Relat. Models, 3(2010), no.3, 409-425. 
[37]. Feimin Huang, Yi Wang, Tong Yang, Hydrodynamic limit of the Boltzmann equation with contact discontinuities，Comm. Math. Phys., 295 (2010), no. 2, 293-326.

[38]. Xiaohong Qin, Yi Wang, Stability of wave patterns to the inflow problem of full compressible Navier-Stokes equations，SIAM J. Math. Anal.., 41 (2009), no. 5, 2057-2087.

[39]. Yi Wang, Zero dissipation limit of compressible heat-conducting Navier-Stokes equations in the presence of shock，Acta Math. Scientia (Series B), 28 (2008), no. 4, 727-748.

[40]. Feimin Huang, Ronghua Pan, Yi Wang, Stability of Contact Discontinuity for Jin-Xin Relaxation System，J. Differential Equations, 244 (2008), 1114-1140.

[41]. Feimin Huang, Yi Wang, Large time behavior of the solutions to the Boltzmann equation with specular reflective boundary condition，J. Differential Equations, 240 (2007), 399-429.

[42]. Yi Wang, The global existence of solutions for a cross-diffusion system，Acta Math. Appl. Sin., 21, No.3, (2005), 519-528. 

   

（ 1 ） 国家万人计划-科技创新领军人才, 负责人, 国家任务, 2023-09--2026-09
（ 2 ） 可压缩Navier-Stokes方程黎曼解的稳定性, 负责人, 国家任务, 2022-01--2025-12
（ 3 ） 青年创新促进会优秀会员基金, 负责人, 中国科学院计划, 2019-01--2021-12
（ 4 ） 粘性守恒律方程组解的渐近行为, 负责人, 国家任务, 2017-01--2020-12
（ 5 ） 国家万人计划－青年拔尖人才, 负责人, 国家任务, 2016-01--2018-12
（ 6 ） 偏微分方程, 负责人, 国家任务, 2014-01--2016-12

（1）Time-asymptotic stability of Riemann solutions to the compressible Navier-Stokes equations   中国数学会2023年会   2023-12-22
（2）Stability of generic Riemannn solutions to the compressible Navier-Stokes equations   2023-07-24
（3）The limit to the compressible Euler equations with Riemann solutions    第八届华人数学家大会   2019-06-10

已指导学生

李林安  博士研究生  070104-应用数学  

左碧君  博士研究生  070104-应用数学  

苏佩  博士研究生  070104-应用数学  

卞新想  博士研究生  070104-应用数学  

黄旭山  博士研究生  070104-应用数学  

谢玲玲  博士研究生  070104-应用数学  

史家进  博士研究生  070104-应用数学  

现指导学生

吕思迪  博士研究生  070104-应用数学  

张健  博士研究生  070104-应用数学  

张世鸿  博士研究生  070104-应用数学  

余秋阳  博士研究生  070104-应用数学  

宋凌跃  硕士研究生  070104-应用数学