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Tao WANG

Supervisor of Doctorate Candidates


Education Level:With Certificate of Graduation for Doctorate Study
School/Department:School of Mathematics and Statistics
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Publications

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[26]. With Paolo Secchi and Yuri Trakhinin On vacuum free boundary problems in ideal compressible magnetohydrodynamicsBulletin of the London Mathematical Society 55 (2023), no. 5,  2087--2111.   [26].Secchi-Trakhinin-Wang.BLMS(2023).pdf

[25]. With Yuri TrakhininWell-posedness for moving interfaces with surface tension in ideal compressible MHDSIAM Journal on Mathematical Analysis 54 (2022), no. 6, 5888--5921.   [25].Trakhinin-Wang.SIMA(2022).pdf

[24]. With Yuri Trakhinin: Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tensionMathematische Annalen 383 (2022), no. 1-2, 761--808.   [24].Trakhinin-Wang.MathAnn(2022).pdf

[23]. With Yuri Trakhinin: Nonlinear stability of MHD contact discontinuities with surface tensionArchive for Rational Mechanics and Analysis 243 (2022), no. 2, 1091—1149.    [23].Trakhinin-Wang.ARMA(2022).pdf

[22]. With Yuri Trakhinin: Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamicsArchive for Rational Mechanics and Analysis  239 (2021), no. 2, 1131--1176.   [22].Trakhinin-Wang.ARMA(2021).pdf

[21]. With Robin Ming Chen, Jilong Hu, Dehua Wang, and Difan Yuan: Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics. Journal of Differential Equations 269 (2020), no. 9, 6899--6940.   [21].Chen-Hu-Wang-Wang-Yuan.JDE(2020).pdf

[20]. With Alessandro Morando and Paola Trebeschi: Existence and stability of nonisentropic compressible vortex sheets. In A. Bressan, M. Lewicka, D. Wang, and Y. Zheng (Eds.): Hyperbolic problems: theory, numerics, applications, pp. 569--576. Am. Inst. Math. Sci. (AIMS), 2020.   [20].Morando-Trebeschi-Wang.HYP(2020).pdf

[19]. With Gui-Qiang G. Chen and Paolo Secchi: Stability of multidimensional thermoelastic contact discontinuities. Archive for Rational Mechanics and Analysis 237 (2020), no. 3, 1271--1323.   [19].Chen-Secchi-Wang.ARMA(2020).pdf

[18]. With Gui-Qiang G. Chen and Paolo Secchi: Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetimeArchive for Rational Mechanics and Analysis 232 (2019), no. 2, 591--695.   [18].Chen-Secchi-Wang.ARMA(2019).pdf

[17]. With Alessandro Morando and Paola Trebeschi: Two-dimensional vortex sheets for the nonisentropic Euler equations: nonlinear stability. Journal of Differential Equations 266 (2019), no. 9, 5397--5430.   [17].Morando-Trebeschi-Wang.JDE(2019).pdf

[16]. With Yongkai Liao and Huijiang Zhao: Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain. Journal of Differential Equations 266 (2019), no. 10, 6459--6506.   [16].Liao-Wang-Zhao.JDE(2019).pdf

[15]. With Lin He, Yongkai Liao, and Huijiang Zhao: One-dimensional viscous radiative gas with temperature dependent viscosity. Acta Mathematica Scientia 38 (2018), no. 5, 1515--1548.   [15].He-Liao-Wang-Zhao.AMS(2018).pdf

[14]. With Ling Wan: Asymptotic behavior for cylindrically symmetric nonbarotropic flows in exterior domains with large data. Nonlinear Analysis: Real World Applications 39 (2018), 93--119.   [14].Wan-Wang.NA(2018).pdf

[13]. With Ling Wan: Symmetric flows for compressible heat-conducting fluids with temperature dependent viscosity coefficients. Journal of Differential Equations 262 (2017), no. 12, 5939--5977.   [13].Wan-Wang.JDE(2017).pdf

[12]. With Huijiang Zhao: One-dimensional compressible heat-conducting gas with temperature-dependent viscosity. Mathematical Models and Methods in Applied Sciences 26 (2016), no. 12, 2237--2275.   [12].Wang-Zhao.M3AS(2016).pdf

[11]. With Ling Wan and Huijiang Zhao: Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half-space. Journal of Differential Equations 261 (2016), no. 11, 5949--5991.   [11].Wan-Wang-Zhao.JDE(2016).pdf

[10]. With Ling Wan and Qingyang Zou: Stability of stationary solutions to the outflow problem for full compressible Navier-Stokes equations with large initial perturbation. Nonlinearity 29 (2016), no. 4, 1329--1354.   [10].Wan-Wang-Zou.Nonlinearity(2016).pdf

[9]. With Ling Wan: Asymptotic behavior for the one-dimensional pth power Newtonian fluid in unbounded domains. Mathematical Methods in the Applied Sciences 39 (2016), no. 5, 1020--1025.   [9].Wan-Wang.MMAS(2016).pdf

[8]. One dimensional p-th power Newtonian fluid with temperature-dependent thermal conductivity.Communications on Pure and Applied Analysis 15 (2016), no. 2, 477--494.   [8].Wang.CPAA(2016).pdf

[7]. With Ling Wan: Large-time behavior of solutions to the equations of a viscous heat-conducting flow with shear viscosity in unbounded domains. Journal of Mathematical Analysis and Applications 436 (2016), no. 1, 366--381.   [7].Wan-Wang.JMAA(2016).pdf

[6]. With Lin He and Shaojun Tang: Stability of viscous shock waves for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Acta Mathematica Scientia 36 (2016), no. 1, 34--48.   [6].He-Tang-Wang.AMS(2016).pdf

[5]. Vanishing shear viscosity in the magnetohydrodynamic equations with temperature-dependent heat conductivity. Zeitschrift fur angewandte Mathematik und Physik 66 (2015), no. 6, 3299--3307.   [5].Wang.ZAMP(2015).pdf

[4]. With Lili Fan, Hongxia Liu, and Huijiang Zhao: Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbationJournal of Differential Equations 257 (2014), no. 10, 3521--3553.   [4].Fan-Liu-Wang-Zhao.JDE(2014).pdf

[3]. With Lusheng Wang and Linjie Xiong: Global existence and decay of solutions to the Fokker-Planck-Boltzmann equation. Kinetic and Related Models 7 (2014), no. 1, 169--194.   [3].Xiong-Wang-Wang.KRM(2014).pdf

[2]. With Huijiang Zhao and Qingyang Zou: One-dimensional compressible Navier-Stokes equations with large density oscillation. Kinetic and Related Models 6 (2013), no. 3, 649--670.   [2].Wang-Zhao-Zou.KRM(2013).pdf

[1]. With Huijiang Zhao and Qingyang Zou: The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation. Journal of Differential Equations 253 (2012), no. 2, 563--603.   [1].Zou-Zhao-Wang.JDE(2012).pdf