General

Yi Wang

Institute of Applied Mathematics,

Academy of Mathematics and Systems Sciences,

Chinese Academy of Sciences,

Beijing 100190, P. R. China
Email: wangyi@amss.ac.cn
Telephone: 010-82541281
Address: No. 55 Zhongguancun East Road, Haidian District, Beijing 100190, P. R. China
Postcode: 100190

Research Areas

Nonlinear Partial Differential Equations,

Conservation laws,

Mathematical theories of compressible fluids,

Compressible Navier-Stokes equations,

.......


Education

Ph. D, 2004-2007,  University of Chinese Academy of Sciences

Publications

[1]. 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.

[2]. 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.

[3]. 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.

[4]. 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.

[5]. 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.

[6]. 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.

[7]. 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.

[8]. 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.

[9]. 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.

[10]. 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.

[11]. 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.

[12]. 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.

[13]. 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.

[14].  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.

[15]. 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.

[16]. 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.

[17]. 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.

[18]. 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.

[19]. 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.

[20]. 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.

[21].  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.

[22]. 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.

[23]. 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.

[24]. 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.

[25]. 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.

[26].  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.

[27]. Quansen Jiu,  Yi Wang, Zhouping Xin,  Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. J. Differential Equations 255 (2013), no. 3, 351-404.

[28]. 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.

[29].  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.

[30].  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.

[31]. Quansen Jiu,  Yi Wang, Zhouping Xin, Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity. Comm. Partial Differential Equations 36 (2011), no. 4, 602-634.
[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]. 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.
[34]. 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.

[35]. 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. 
[36]. Feimin Huang, Yi Wang, Tong Yang, Hydrodynamic limit of the Boltzmann equation with contact discontinuities,Comm. Math. Phys., 295 (2010), no. 2, 293-326.

[37]. 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.

[38]. 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.

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

[40]. 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.

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


Students

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  

现指导学生

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  

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