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.
Students
已指导学生
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