Edit Profile (opens in new tab) Yang, Tong Co-Author Distance Author ID: yang.tong Published as: Yang, Tong; Yang, T. Homepage: http://www6.cityu.edu.hk/ma/people/profile/yangt.htm External Links: MGP · ORCID · dblp Documents Indexed: 236 Publications since 1989, including 14 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 75 Co-Authors with 212 Joint Publications 2,422 Co-Co-Authors all top 5 Co-Authors 10 single-authored 31 Ukai, Seiji 31 Zhao, Huijiang 27 Morimoto, Yoshinori 21 Duan, Renjun 20 Zhu, Changjiang 18 Liu, Tai-Ping 17 Xu, Chao-Jiang 15 Alexandre, Radjesvarane 14 Liu, Cheng-Jie 12 Huang, Feimin 11 Li, Hailiang 10 Yu, Hongjun 9 Zhong, Mingying 8 Wang, Yi 8 Wang, Yong 8 Xie, Feng 7 Li, Weixi 7 Lin, Longwei 7 Wang, Weike 7 Wang, Ya-Guang 7 Yao, Zhengan 6 Liu, Shuangqian 6 Luo, Tao 6 Wang, Shuaikun 5 Xin, Zhouping 5 Yu, Shih-Hsien 4 Bressan, Alberto 4 Jin, Chunhua 4 Liu, Hailiang 4 Liu, Hongxia 4 Qin, Xulong 4 Yin, Jingxue 4 Zhang, Zhu 4 Zhou, Wenshu 3 Cho, Yong-Kum 3 Degond, Pierre 3 Deng, Yinbin 3 Hsiao, Ling 3 Hua, Jiale 3 Nishihara, Kenji 3 Wang, Jinghua 3 Ying, Lungan 2 Aoki, Kazuo 2 Hong, Pengyu 2 Jiang, Zaihong 2 Kong, Dexing 2 Mei, Ming 2 Sha, Long 2 Wang, Chunpeng 2 Yang, Xiongfeng 2 Zheng, Yongshu 2 Zhou, Yulong 2 Zou, Chen 2 Zou, Qingyang 1 Alonso, Ricardo J. 1 Bardos, Claude Williams 1 Chai, Chingli 1 Chang, Qianshun 1 Chavdarova, Tatjana 1 Chen, Chiun-Chuan 1 Cheng, Qing-Meng 1 Cui, Bin 1 Dai, Dan 1 Dong, Hongjie 1 Fu, Baohua 1 Ha, Seung-Yeal 1 He, Jintao 1 Hu, Jiaxin 1 Hu, Jingwei 1 Huang, Yongting 1 Huo, Zhaohui 1 Ji, Lizhen 1 Jordan, Michael Irwin 1 Lei, Yuanjie 1 Levermore, C. David 1 Li, Mengrong 1 Liao, Jie 1 Liu, Kefeng 1 Luo, Feng 1 Ma, Hongfang 1 Mardare, Cristinel 1 Masmoudi, Nader 1 Meng, Xiangyi 1 Natalini, Roberto 1 Qi, Kunlun 1 Ruas, Olivier 1 Sun, Jiawei 1 Sun, Weiran 1 Tan, Zhong 1 Vong, Seakweng 1 Wang, Dehua 1 Wang, Xu-Jia 1 Wei, Wun-cheng 1 Wen, Huanyao 1 Wong, Roderick Sue-Chuen 1 Woo, Chingwah 1 Wu, Jianyu 1 Wu, Yuhan 1 Xiang, Jianlin 1 Yan, Shen ...and 9 more Co-Authors all top 5 Serials 35 Journal of Differential Equations 22 SIAM Journal on Mathematical Analysis 18 Archive for Rational Mechanics and Analysis 12 Communications in Mathematical Physics 9 Kinetic and Related Models 7 Analysis and Applications (Singapore) 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Communications on Pure and Applied Mathematics 5 Communications in Partial Differential Equations 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Journal of Functional Analysis 4 Methods and Applications of Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Statistical Physics 3 Science China. Mathematics 3 Scientia Sinica. Mathematica 3 Communications in Mathematical Analysis and Applications 2 Applicable Analysis 2 Advances in Mathematics 2 Indiana University Mathematics Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Journal of the American Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 Taiwanese Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Communications on Pure and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Methods in the Applied Sciences 1 IEEE Transactions on Computers 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Journal of Mathematical Research & Exposition 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Revista Matemática Iberoamericana 1 Acta Mathematica Scientia 1 Journal of Partial Differential Equations 1 IEEE Transactions on Image Processing 1 Journal of Hyperbolic Differential Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Frontiers of Mathematics in China 1 RIMS Kôkyûroku Bessatsu 1 Kyoto Journal of Mathematics 1 ICCM Notices 1 London Mathematical Society. Newsletter all top 5 Fields 203 Partial differential equations (35-XX) 143 Fluid mechanics (76-XX) 52 Statistical mechanics, structure of matter (82-XX) 11 Numerical analysis (65-XX) 7 Integral equations (45-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 195 Publications have been cited 4,965 times in 1,923 Documents Cited by ▼ Year ▼ Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093 Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 144 2007 Vacuum states for compressible flow. Zbl 0970.76084 Liu, Tai-Ping; Xin, Zhouping; Yang, Tong 143 1998 Energy method for Boltzmann equation. Zbl 1098.82618 Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien 143 2004 Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1045.76038 Yang, Tong; Zhu, Changjiang 136 2002 The pointwise estimates of solutions for Euler equations with damping in multi-dimensions. Zbl 0997.35039 Wang, Weike; Yang, Tong 125 2001 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084 Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 125 2001 Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186 Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T. 119 2015 Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force. Zbl 1121.35096 Duan, Renjun; Liu, Hongxia; Ukai, Seiji; Yang, Tong 115 2007 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068 Huang, Feimin; Xin, Zhouping; Yang, Tong 111 2008 \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping. Zbl 0946.35012 Nishihara, Kenji; Wang, Weike; Yang, Tong 92 2000 \(L^1\) stability estimates for \(n\times n\) conservation laws. Zbl 0938.35093 Bressan, Alberto; Liu, Tai-Ping; Yang, Tong 87 1999 The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 87 2012 Nonlinear stability of strong rarefaction waves for compressible Navier-Stokes equations. Zbl 1065.35057 Nishihara, Kenji; Yang, Tong; Zhao, Huijiang 87 2004 A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1003.76073 Yang, Tong; Zhao, Huijiang 84 2002 Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 81 2010 Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II. Zbl 1025.35020 Vong, Seak-Weng; Yang, Tong; Zhu, Changjiang 77 2003 The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012 Ukai, Seiji; Yang, Tong 74 2006 Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098 Luo, Tao; Xin, Zhouping; Yang, Tong 72 2000 Compressible Euler equations with vacuum. Zbl 0890.35111 Liu, Tai-Ping; Yang, Tong 67 1997 Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 66 2011 Solutions of Euler-Poisson equations for gaseous stars. Zbl 1038.76036 Deng, Yinbin; Liu, Tai-Ping; Yang, Tong; Yao, Zhengan 65 2002 Nonlinear stability of rarefaction waves for the Boltzmann equation. Zbl 1095.76024 Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien; Zhao, Hui-Jiang 58 2006 Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data. Zbl 1291.35237 Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 58 2013 Compressible flow with vacuum and physical singularity. Zbl 1033.76050 Liu, Tai-Ping; Yang, Tong 57 2000 MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492 Liu, Cheng-jie; Xie, Feng; Yang, Tong 57 2019 Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315 Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 55 2009 Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1129.35023 Yang, Tong; Zhao, Huijiang 53 2006 Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping. Zbl 0933.35121 Nishihara, Kenji; Yang, Tong 53 1999 The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 53 2011 The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056 Duan, Renjun; Yang, Tong; Zhao, Huijiang 52 2013 The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 52 2011 Nonlinear boundary layers of the Boltzmann equation. I: Existence. Zbl 1041.82017 Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien 50 2003 One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data. Zbl 1304.35561 Liu, Hongxia; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 47 2014 Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications. Zbl 1175.82047 Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 46 2008 The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174 Duan, Renjun; Yang, Tong; Zhao, Huijiang 46 2012 Cauchy problem for the Vlasov-Poisson-Boltzmann system. Zbl 1104.76086 Yang, Tong; Yu, Hongjun; Zhao, Huijiang 45 2006 Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332 Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong 45 2008 Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251 Ukai, Seiji; Yang, Tong; Zhao, Huijiang 44 2006 Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity. Zbl 1209.35098 Huang, Feimin; Wang, Yi; Yang, Tong 40 2010 Well-posedness theory for hyperbolic conservation laws. Zbl 1034.35073 Liu, Tai-Ping; Yang, Tong 40 1999 Blowup phenomena of solutions to Euler–Poisson equations. Zbl 1032.35023 Deng, Yinbin; Xiang, Jianlin; Yang, Tong 40 2003 Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305 Li, Wei-Xi; Yang, Tong 40 2020 Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555 Liu, Cheng-Jie; Xie, Feng; Yang, Tong 40 2019 Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect. Zbl 1248.35020 Huang, Feimin; Mei, Ming; Wang, Yong; Yang, Tong 37 2012 Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040 Yang, Tong; Yu, Hongjun 37 2011 Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476 Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 36 2013 Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166 Yang, Tong; Yu, Hongjun 34 2010 Uncertainty principle and kinetic equations. Zbl 1166.35038 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 34 2008 Singular behavior of vacuum states for compressible fluids. Zbl 1083.76052 Yang, Tong 33 2006 The limit of the Boltzmann equation to the Euler equations for Riemann problems. Zbl 1367.76055 Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong 33 2013 Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036 Duan, Renjun; Yang, Tong 32 2010 Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem. Zbl 1286.76125 Huang, Feimin; Wang, Yi; Yang, Tong 31 2012 Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 30 2013 Local existence with physical vacuum boundary condition to Euler equations with damping. Zbl 1061.35049 Xu, Chao-Jiang; Yang, Tong 29 2005 Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464 Ukai, Seiji; Yang, Tong; Zhao, Huijiang 29 2005 On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 29 2016 Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238 Huang, Feimin; Wang, Yi; Yang, Tong 29 2010 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006 Degond, Pierre; Yang, Tong 29 2010 Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136 Ma, Hongfang; Ukai, Seiji; Yang, Tong 27 2010 \(L_1\) stability for \(2\times 2\) systems of hyperbolic conservation laws. Zbl 0924.35083 Liu, Tai-Ping; Yang, Tong 27 1999 Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. Zbl 1024.35068 Kong, Dexing; Yang, Tong 27 2003 Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces. Zbl 1445.76097 Liu, Cheng-Jie; Wang, Dehua; Xie, Feng; Yang, Tong 27 2020 Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Zbl 0986.35110 Hsiao, Ling; Yang, Tong 26 2001 A half-space problem for the Boltzmann equation with specular reflection boundary condition. Zbl 1075.35060 Yang, Tong; Zhao, Hui-Jiang 25 2005 Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097 Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong 25 2017 A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 24 2017 Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014 Li, Hailiang; Yang, Tong; Zou, Chen 24 2009 Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 23 2012 Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302 Yang, Tong; Yu, Hongjun 23 2010 Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. Zbl 1185.35035 Duan, Renjun; Yang, Tong; Zhu, Changjiang 23 2006 Stability of contact discontinuity for the Boltzmann equation. Zbl 1139.35330 Huang, Feimin; Yang, Tong 23 2006 Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\). Zbl 1083.82028 Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien 21 2004 On the convergence rate of vanishing viscosity approximations. Zbl 1060.35109 Bressan, Alberto; Yang, Tong 21 2004 Weak solutions of general systems of hyperbolic conservation laws. Zbl 1041.35038 Liu, Tai-Ping; Yang, Tong 21 2002 Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry. Zbl 1320.35288 Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu 21 2015 Existence and non-existence of global smooth solutions for \(p\)-system with relaxation. Zbl 0958.35081 Yang, Tong; Zhu, Changjiang 20 2000 Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping. Zbl 1035.35077 Wang, Weike; Yang, Tong 20 2003 Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358 Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong 20 2004 \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces. Zbl 1101.76051 Duan, Renjun; Yang, Tong; Zhu, Changjiang 19 2006 A note on the ill-posedness of shear flow for the MHD boundary layer equations. Zbl 1402.35316 Liu, Cheng-Jie; Xie, Feng; Yang, Tong 19 2018 Spectrum analysis of some kinetic equations. Zbl 1348.35164 Yang, Tong; Yu, Hongjun 18 2016 The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials. Zbl 1414.82027 Duan, Renjun; Lei, Yuanjie; Yang, Tong; Zhao, Huijiang 18 2017 Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay. Zbl 1378.35331 Liu, Cheng-Jie; Yang, Tong 18 2017 Global existence to Boltzmann equation with external force in infinite vacuum. Zbl 1110.82034 Duan, Renjun; Yang, Tong; Zhu, Changjiang 17 2005 A new energy method for the Boltzmann equation. Zbl 1111.82048 Yang, Tong; Zhao, Hui-Jiang 16 2006 \(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544 Liao, Jie; Wang, Weike; Yang, Tong 16 2009 Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304 Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying 16 2018 Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow. Zbl 1414.76044 Xie, Feng; Yang, Tong 16 2019 Global-in-time stability of 2D MHD boundary layer in the Prandtl-Hartmann regime. Zbl 1402.76111 Xie, Feng; Yang, Tong 16 2018 A new entropy functional for a scalar conservation law. Zbl 0941.35051 Liu, Tai-Ping; Yang, Tong 15 1999 \(L_1\) stability of conservation laws with coinciding Hugoniot and characteristic curves. Zbl 0935.35090 Liu, Tai-Ping; Yang, Tong 15 1999 Convergence rates to travelling waves for a nonconvex relaxation model. Zbl 0919.35079 Mei, Ming; Yang, Tong 15 1998 Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure. Zbl 1353.35215 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 15 2016 Non-cutoff Boltzmann equation with polynomial decay perturbations. Zbl 1459.35305 Alonso, Ricardo; Morimoto, Yoshinori; Sun, Weiran; Yang, Tong 15 2021 Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076 Wang, Weike; Yang, Tong 14 2007 Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161 Yang, Tong; Yu, Hongjun 14 2012 Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008 Li, Hai-Liang; Yang, Tong; Zhong, Mingying 14 2016 Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125 Morimoto, Yoshinori; Yang, Tong 14 2015 Time periodic solution for a 3-D compressible Navier-Stokes system with an external force in \(\mathbb{R}^3\). Zbl 1319.35160 Jin, Chunhua; Yang, Tong 14 2015 Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 13 2011 De Giorgi argument for weighted \(L^2\cap L^{\infty}\) solutions to the non-cutoff Boltzmann equation. Zbl 1504.35210 Alonso, R.; Morimoto, Y.; Sun, W.; Yang, T. 5 2023 Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer. Zbl 1528.35102 Yang, Tong; Zhang, Zhu 1 2023 Well-posedness in Gevrey function space for 3D Prandtl equations without structural assumption. Zbl 1498.35433 Li, Wei-Xi; Masmoudi, Nader; Yang, Tong 13 2022 Vector fields of cancellation for the Prandtl operators. Zbl 07730356 Yang, Tong 3 2022 3D hyperbolic Navier-Stokes equations in a thin strip: global well-posedness and hydrostatic limit in Gevrey space. Zbl 07730361 Li, Wei-Xi; Yang, Tong 3 2022 Analysis of the Tollmien-Schlichting wave in the Prandtl-Hartmann regime. Zbl 1496.35321 Liu, Cheng-Jie; Yang, Tong; Zhang, Zhu 3 2022 Global well-posedness of a Prandtl model from MHD in Gevrey function spaces. Zbl 1513.76172 Li, Wei-Xi; Xu, Rui; Yang, Tong 2 2022 The Navier-Stokes-Vlasov-Fokker-Planck system in bounded domains. Zbl 1490.35501 Li, Hailiang; Liu, Shuangqian; Yang, Tong 1 2022 Non-cutoff Boltzmann equation with polynomial decay perturbations. Zbl 1459.35305 Alonso, Ricardo; Morimoto, Yoshinori; Sun, Weiran; Yang, Tong 15 2021 Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386 Li, Hai-Liang; Yang, Tong; Zhong, Mingying 10 2021 Well-posedness of the MHD boundary layer system in Gevrey function space without structural assumption. Zbl 1472.35304 Li, Wei-Xi; Yang, Tong 9 2021 A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. Zbl 1462.35235 Hu, Jingwei; Qi, Kunlun; Yang, Tong 6 2021 Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121 Li, Hai-Liang; Yang, Tong; Zhong, Mingying 5 2021 Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry. Zbl 1459.76121 Wen, Huanyao; Yang, Tong; Zhao, Xinhua; Zhu, Changjiang 5 2021 Uniform regularity and vanishing viscosity limit for the incompressible non-resistive MHD system with TMF. Zbl 1504.35350 Liu, Cheng-Jie; Xie, Feng; Yang, Tong 5 2021 Study of boundary layers in compressible non-isentropic flows. Zbl 1511.35281 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 1 2021 Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305 Li, Wei-Xi; Yang, Tong 40 2020 Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces. Zbl 1445.76097 Liu, Cheng-Jie; Wang, Dehua; Xie, Feng; Yang, Tong 27 2020 Green’s function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system. Zbl 1444.76003 Li, Hai-Liang; Yang, Tong; Zhong, Mingying 6 2020 MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492 Liu, Cheng-jie; Xie, Feng; Yang, Tong 57 2019 Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555 Liu, Cheng-Jie; Xie, Feng; Yang, Tong 40 2019 Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow. Zbl 1414.76044 Xie, Feng; Yang, Tong 16 2019 Local-in-time well-posedness for compressible MHD boundary layer. Zbl 1456.35162 Huang, Yongting; Liu, Cheng-Jie; Yang, Tong 11 2019 Vanishing shear viscosity limit and boundary layer study for the planar MHD system. Zbl 1425.35162 Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu 6 2019 A note on the ill-posedness of shear flow for the MHD boundary layer equations. Zbl 1402.35316 Liu, Cheng-Jie; Xie, Feng; Yang, Tong 19 2018 Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304 Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying 16 2018 Global-in-time stability of 2D MHD boundary layer in the Prandtl-Hartmann regime. Zbl 1402.76111 Xie, Feng; Yang, Tong 16 2018 Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097 Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong 25 2017 A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 24 2017 The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials. Zbl 1414.82027 Duan, Renjun; Lei, Yuanjie; Yang, Tong; Zhao, Huijiang 18 2017 Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay. Zbl 1378.35331 Liu, Cheng-Jie; Yang, Tong 18 2017 Moment classification of infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1368.35202 Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 3 2017 Convergence to self-similar solutions for the homogeneous Boltzmann equation. Zbl 1379.82019 Morimoto, Yoshinori; Yang, Tong; Zhao, Huijiang 3 2017 Global existence for the ellipsoidal BGK model with initial large oscillations. Zbl 1499.35465 Duan, Renjun; Wang, Yong; Yang, Tong 2 2017 On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 29 2016 Spectrum analysis of some kinetic equations. Zbl 1348.35164 Yang, Tong; Yu, Hongjun 18 2016 Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure. Zbl 1353.35215 Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 15 2016 Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008 Li, Hai-Liang; Yang, Tong; Zhong, Mingying 14 2016 Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1360.35133 Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 12 2016 Time periodic solution to the compressible Navier-Stokes equations in a periodic domain. Zbl 1363.35273 Jin, Chunhua; Yang, Tong 10 2016 Spectrum structure and behaviors of the Vlasov-Maxwell-Boltzmann systems. Zbl 1331.76107 Li, Hai-Liang; Yang, Tong; Zhong, Mingying 9 2016 Probability measures with finite moments and the homogeneous Boltzmann equation. Zbl 1347.35189 Cho, Yong-Kum; Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 5 2016 Large time behavior of solutions to Vlasov-Poisson-Landau (Fokker-Planck) equations. Zbl 1499.35587 Li, Hailiang; Sun, Jiawei; Yang, Tong; Zhong, Mingying 4 2016 Justification of limit for the Boltzmann equation related to Korteweg theory. Zbl 1352.35113 Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong 3 2016 Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186 Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T. 119 2015 Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry. Zbl 1320.35288 Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu 21 2015 Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125 Morimoto, Yoshinori; Yang, Tong 14 2015 Time periodic solution for a 3-D compressible Navier-Stokes system with an external force in \(\mathbb{R}^3\). Zbl 1319.35160 Jin, Chunhua; Yang, Tong 14 2015 Local well-posedness of Prandtl equations for compressible flow in two space variables. Zbl 1326.35290 Wang, Ya-Guang; Xie, Feng; Yang, Tong 12 2015 A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1308.35155 Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 11 2015 Local existence of polynomial decay solutions to the Boltzmann equation for soft potentials. Zbl 1326.35225 Morimoto, Yoshinori; Yang, Tong 10 2015 A study on the boundary layer for the planar magnetohydrodynamics system. Zbl 1340.76074 Qin, Xulong; Yang, Tong; Yao, Zheng’an; Zhou, Wenshu 7 2015 Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks. Zbl 1360.35178 Huang, FeiMin; Wang, Yi; Wang, Yong; Yang, Tong 5 2015 One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data. Zbl 1304.35561 Liu, Hongxia; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 47 2014 Compressible Navier-Stokes approximation to the Boltzmann equation. Zbl 1441.76105 Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 7 2014 Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data. Zbl 1291.35237 Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 58 2013 The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056 Duan, Renjun; Yang, Tong; Zhao, Huijiang 52 2013 Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476 Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 36 2013 The limit of the Boltzmann equation to the Euler equations for Riemann problems. Zbl 1367.76055 Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong 33 2013 Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 30 2013 The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 87 2012 The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174 Duan, Renjun; Yang, Tong; Zhao, Huijiang 46 2012 Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect. Zbl 1248.35020 Huang, Feimin; Mei, Ming; Wang, Yong; Yang, Tong 37 2012 Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem. Zbl 1286.76125 Huang, Feimin; Wang, Yi; Yang, Tong 31 2012 Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 23 2012 Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161 Yang, Tong; Yu, Hongjun 14 2012 The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443 Xin, Zhouping; Yang, Tong; Yu, Hongjun 12 2012 On the convergence rate of vanishing viscosity approximations for nonlinear hyperbolic systems. Zbl 1264.35017 Bressan, Alberto; Huang, Feimin; Wang, Yong; Yang, Tong 7 2012 Waiting time for a non-Newtonian polytropic filtration equation with convection. Zbl 1242.76011 Jin, Chunhua; Yang, Tong; Yin, Jingxue 2 2012 Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 66 2011 The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 53 2011 The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660 Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 52 2011 Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040 Yang, Tong; Yu, Hongjun 37 2011 Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 13 2011 The compressible non-isentropic bipolar Navier-Stokes-Poisson system in \(\mathbb R^3\). Zbl 1265.35265 Hsiao, Ling; Li, Hailiang; Yang, Tong; Zou, Chen 8 2011 Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. Zbl 1251.35062 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 7 2011 Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 81 2010 Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity. Zbl 1209.35098 Huang, Feimin; Wang, Yi; Yang, Tong 40 2010 Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166 Yang, Tong; Yu, Hongjun 34 2010 Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036 Duan, Renjun; Yang, Tong 32 2010 Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238 Huang, Feimin; Wang, Yi; Yang, Tong 29 2010 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006 Degond, Pierre; Yang, Tong 29 2010 Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136 Ma, Hongfang; Ukai, Seiji; Yang, Tong 27 2010 Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302 Yang, Tong; Yu, Hongjun 23 2010 Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. (Existence globale pour l’équation de Boltzmann sans troncature.) Zbl 1200.35296 Alexandre, Radjesvarane; Morimoto, Y.; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 9 2010 A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws. Zbl 1194.65104 Hua, Jiale; Jiang, Zaihong; Yang, Tong 5 2010 A note on the new Glimm functional for general systems of hyperbolic conservation laws. Zbl 1211.35186 Hua, Jiale; Yang, Tong 2 2010 Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315 Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 55 2009 Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014 Li, Hailiang; Yang, Tong; Zou, Chen 24 2009 \(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544 Liao, Jie; Wang, Weike; Yang, Tong 16 2009 A combination of energy method and spectral analysis for study of equations of gas motion. Zbl 1180.35103 Duan, Renjun; Ukai, Seiji; Yang, Tong 13 2009 Optimal convergence rates of Landau equation with external forcing in the whole space. Zbl 1212.35490 Yang, Tong; Yu, Hongjun 12 2009 Regularity of solutions for the Boltzmann equation without angular cutoff. Zbl 1167.35322 Alexandre, Radjesvarane; Morimoto, Yoshinore; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 7 2009 A lattice Boltzmann method for image denoising. Zbl 1371.94078 Chang, Qianshun; Yang, Tong 7 2009 Exterior problem of Boltzmann equation with temperature difference. Zbl 1157.82037 Ukai, Seiji; Yang, Tong; Zhao, Huijiang 4 2009 Stationary solutions to the exterior problems for the Boltzmann equation. I: Existence. Zbl 1156.76049 Ukai, Seiji; Yang, Tong; Zhao, Huijiang 4 2009 Existence of local solutions for the Boltzmann equation without angular cutoff. Zbl 1179.35232 Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 1 2009 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068 Huang, Feimin; Xin, Zhouping; Yang, Tong 111 2008 Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications. Zbl 1175.82047 Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 46 2008 Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332 Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong 45 2008 ...and 95 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,308 Authors 116 Yang, Tong 77 Zhu, Changjiang 55 Zhao, Huijiang 53 Duan, Renjun 43 Tan, Zhong 43 Wang, Weike 37 Huang, Feimin 34 Li, Yeping 30 Zhang, Yinghui 29 Yao, Zhengan 28 Morimoto, Yoshinori 27 Li, Hailiang 27 Mei, Ming 26 Liu, Shuangqian 26 Wang, Yi 26 Xin, Zhouping 26 Yuen, Manwai 25 Yu, Hongjun 24 Ha, Seung-Yeal 24 Wu, Zhigang 23 Yang, Xiongfeng 22 Guo, Zhenhua 21 Xu, Chao-Jiang 20 Guo, Yan 20 Luo, Tao 20 Ukai, Seiji 20 Wen, Huanyao 19 Wang, Wenjun 18 Ding, Shijin 18 Zhang, Ting 17 Lian, Ruxu 17 Wu, Guochun 17 Yao, Lei 17 Zhu, Shengguo 16 Li, Weixi 16 Wang, Yong 16 Xie, Feng 16 Yin, Haiyan 15 Chen, Zhengzheng 15 Jang, Juhi 15 Liu, Cheng-Jie 15 Pan, Ronghua 14 Chen, Gui-Qiang G. 14 Li, Yachun 14 Ruan, Lizhi 14 Zhong, Mingying 13 Geng, Shifeng 13 Peng, Hongyun 13 Shao, Zhiqiang 13 Strain, Robert M. 13 Yu, Huimin 13 Zeng, Huihui 13 Zhang, Kaijun 12 Alexandre, Radjesvarane 12 He, Lingbing 12 Hou, Xiaofeng 12 Lei, Yuanjie 12 Masmoudi, Nader 12 Wang, Shu 12 Xiao, Qinghua 11 Cui, Haibo 11 Deng, Dingqun 11 Jiu, Quansen 11 Kang, Moon-Jin 11 Li, Yin 11 Liu, Tai-Ping 11 Wang, Teng 11 Yun, Seok-Bae 11 Zhang, Zhifei 10 Fang, Daoyuan 10 Gao, Jincheng 10 Hong, GuangYi 10 Hsiao, Ling 10 Li, Haoguang 10 Liao, Yongkai 10 Vasseur, Alexis F. 10 Wang, Tao 10 Wei, Ruiying 9 Amadori, Debora 9 Bressan, Alberto 9 Chen, Geng 9 Duan, Ran 9 Guo, Boling 9 Jiang, Ning 9 Li, Zilai 9 Liu, Jianli 9 Ou, Yaobin 9 Wang, Dehua 9 Wang, Jing 9 Wang, Yuxi 9 Wu, Kung-Chien 9 Xiong, Linjie 9 Xu, Jiang 9 Yang, Bicheng 9 Yang, Dongcheng 9 Zhang, Jianwen 9 Zhang, Lan 9 Zhou, Wenshu 8 Bernhoff, Niclas 8 Fan, Lili ...and 1,208 more Authors all top 5 Cited in 180 Serials 281 Journal of Differential Equations 148 Journal of Mathematical Analysis and Applications 108 Archive for Rational Mechanics and Analysis 100 SIAM Journal on Mathematical Analysis 68 Journal of Mathematical Physics 60 Nonlinear Analysis. 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