Edit Profile (opens in new tab) Yang, Tong Compute Distance To: Compute 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: 206 Publications since 1989 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 74 Co-Authors with 198 Joint Publications 2,113 Co-Co-Authors all top 5 Co-Authors 7 single-authored 31 Ukai, Seiji 30 Zhao, Huijiang 26 Morimoto, Yoshinori 20 Zhu, Changjiang 18 Duan, Renjun 18 Liu, Tai-Ping 17 Xu, Chao-Jiang 15 Alexandre, Radjesvarane 11 Huang, Feimin 10 Li, Hailiang 9 Liu, Cheng-Jie 9 Yu, Hongjun 8 Zhong, Mingying 7 Lin, Longwei 7 Wang, Weike 7 Wang, Yi 7 Wang, Yong 7 Xie, Feng 6 Luo, Tao 6 Yao, Zhengan 5 Wang, Shuaikun 5 Wang, Ya-Guang 5 Xin, Zhouping 5 Yu, Shih-Hsien 4 Bressan, Alberto 4 Jin, Chunhua 4 Liu, Hailiang 4 Liu, Hongxia 4 Liu, Shuangqian 4 Yin, Jingxue 3 Degond, Pierre 3 Deng, Yinbin 3 Hsiao, Ling 3 Hua, Jiale 3 Nishihara, Kenji 3 Qin, Xulong 3 Wang, Jinghua 3 Ying, Lungan 3 Zhou, Wenshu 2 Aoki, Kazuo 2 Cho, Yong-Kum 2 Jiang, Zaihong 2 Kong, Dexing 2 Li, Weixi 2 Mei, Ming 2 Wang, Chunpeng 2 Yang, Xiongfeng 2 Zheng, Yongshu 2 Zou, Chen 2 Zou, Qingyang 1 Alonso, Ricardo J. 1 Bardos, Claude Williams 1 Chai, Chingli 1 Chang, Qianshun 1 Chen, Chiun-Chuan 1 Cheng, Qing-Meng 1 Dai, Dan 1 Dong, Hongjie 1 Fu, Baohua 1 Ha, Seung-Yeal 1 Hu, Jiaxin 1 Hu, Jingwei 1 Huang, Yongting 1 Huo, Zhaohui 1 Ji, Lizhen 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 Natalini, Roberto 1 Qi, Kunlun 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 Xiang, Jianlin 1 Yau, Horng-Tzer 1 Yau, Shing-Tung 1 Yi, Fahuai 1 Zhang, Mei 1 Zhang, Wei 1 Zhao, Qingsong 1 Zhao, Xinhua all top 5 Serials 35 Journal of Differential Equations 21 SIAM Journal on Mathematical Analysis 16 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 5 Communications in Partial Differential Equations 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Functional Analysis 3 Methods and Applications of Analysis 3 Scientia Sinica. Mathematica 2 Applicable Analysis 2 Journal of Statistical Physics 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 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 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 1 Mathematical Methods in the Applied Sciences 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 Chinese Annals of Mathematics. Series B 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 Communications on Pure and Applied Analysis 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 185 Partial differential equations (35-XX) 129 Fluid mechanics (76-XX) 49 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) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Mechanics of deformable solids (74-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-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 183 Publications have been cited 4,005 times in 1,539 Documents Cited by ▼ Year ▼ Vacuum states for compressible flow. Zbl 0970.76084Liu, Tai-Ping; Xin, Zhouping; Yang, Tong 125 1998 Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1045.76038Yang, Tong; Zhu, Changjiang 123 2002 Energy method for Boltzmann equation. Zbl 1098.82618Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien 123 2004 Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084Yang, Tong; Yao, Zheng-an; Zhu, Changjiang 112 2001 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 106 2007 The pointwise estimates of solutions for Euler equations with damping in multi-dimensions. Zbl 0997.35039Wang, Weike; Yang, Tong 95 2001 Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force. Zbl 1121.35096Duan, Renjun; Liu, Hongxia; Ukai, Seiji; Yang, Tong 92 2007 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068Huang, Feimin; Xin, Zhouping; Yang, Tong 90 2008 Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T. 83 2015 A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1003.76073Yang, Tong; Zhao, Huijiang 71 2002 Nonlinear stability of strong rarefaction waves for compressible Navier-Stokes equations. Zbl 1065.35057Nishihara, Kenji; Yang, Tong; Zhao, Huijiang 71 2004 Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II. Zbl 1025.35020Vong, Seak-Weng; Yang, Tong; Zhu, Changjiang 70 2003 \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping. Zbl 0946.35012Nishihara, Kenji; Wang, Weike; Yang, Tong 69 2000 Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098Luo, Tao; Xin, Zhouping; Yang, Tong 65 2000 Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 64 2010 \(L^1\) stability estimates for \(n\times n\) conservation laws. Zbl 0938.35093Bressan, Alberto; Liu, Tai-Ping; Yang, Tong 61 1999 The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 61 2012 Solutions of Euler-Poisson equations for gaseous stars. Zbl 1038.76036Deng, Yinbin; Liu, Tai-Ping; Yang, Tong; Yao, Zhengan 57 2002 Compressible Euler equations with vacuum. Zbl 0890.35111Liu, Tai-Ping; Yang, Tong 56 1997 The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012Ukai, Seiji; Yang, Tong 55 2006 Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 51 2009 Nonlinear stability of rarefaction waves for the Boltzmann equation. Zbl 1095.76024Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien; Zhao, Hui-Jiang 50 2006 Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 50 2011 Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1129.35023Yang, Tong; Zhao, Huijiang 49 2006 Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping. Zbl 0933.35121Nishihara, Kenji; Yang, Tong 46 1999 Compressible flow with vacuum and physical singularity. Zbl 1033.76050Liu, Tai-Ping; Yang, Tong 46 2000 Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data. Zbl 1291.35237Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 44 2013 Nonlinear boundary layers of the Boltzmann equation. I: Existence. Zbl 1041.82017Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien 43 2003 Cauchy problem for the Vlasov-Poisson-Boltzmann system. Zbl 1104.76086Yang, Tong; Yu, Hongjun; Zhao, Huijiang 42 2006 The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 42 2011 Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications. Zbl 1175.82047Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 41 2008 Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong 40 2008 Well-posedness theory for hyperbolic conservation laws. Zbl 1034.35073Liu, Tai-Ping; Yang, Tong 38 1999 Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251Ukai, Seiji; Yang, Tong; Zhao, Huijiang 37 2006 The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056Duan, Renjun; Yang, Tong; Zhao, Huijiang 37 2013 One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data. Zbl 1304.35561Liu, Hongxia; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 36 2014 The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 36 2011 Blowup phenomena of solutions to Euler–Poisson equations. Zbl 1032.35023Deng, Yinbin; Xiang, Jianlin; Yang, Tong 36 2003 Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040Yang, Tong; Yu, Hongjun 35 2011 Uncertainty principle and kinetic equations. Zbl 1166.35038Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 33 2008 The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174Duan, Renjun; Yang, Tong; Zhao, Huijiang 33 2012 Singular behavior of vacuum states for compressible fluids. Zbl 1083.76052Yang, Tong 31 2006 Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity. Zbl 1209.35098Huang, Feimin; Wang, Yi; Yang, Tong 31 2010 Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect. Zbl 1248.35020Huang, Feimin; Mei, Ming; Wang, Yong; Yang, Tong 30 2012 MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492Liu, Cheng-jie; Xie, Feng; Yang, Tong 29 2019 Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166Yang, Tong; Yu, Hongjun 28 2010 Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464Ukai, Seiji; Yang, Tong; Zhao, Huijiang 28 2005 Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036Duan, Renjun; Yang, Tong 27 2010 The limit of the Boltzmann equation to the Euler equations for Riemann problems. Zbl 1367.76055Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong 27 2013 Local existence with physical vacuum boundary condition to Euler equations with damping. Zbl 1061.35049Xu, Chao-Jiang; Yang, Tong 26 2005 Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. Zbl 1024.35068Kong, Dexing; Yang, Tong 26 2003 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006Degond, Pierre; Yang, Tong 26 2010 Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Zbl 0986.35110Hsiao, Ling; Yang, Tong 25 2001 Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238Huang, Feimin; Wang, Yi; Yang, Tong 24 2010 Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 24 2013 Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136Ma, Hongfang; Ukai, Seiji; Yang, Tong 23 2010 Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. Zbl 1185.35035Duan, Renjun; Yang, Tong; Zhu, Changjiang 23 2006 Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem. Zbl 1286.76125Huang, Feimin; Wang, Yi; Yang, Tong 22 2012 Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302Yang, Tong; Yu, Hongjun 21 2010 Stability of contact discontinuity for the Boltzmann equation. Zbl 1139.35330Huang, Feimin; Yang, Tong 21 2006 A half-space problem for the Boltzmann equation with specular reflection boundary condition. Zbl 1075.35060Yang, Tong; Zhao, Hui-Jiang 21 2005 \(L_1\) stability for \(2\times 2\) systems of hyperbolic conservation laws. Zbl 0924.35083Liu, Tai-Ping; Yang, Tong 21 1999 Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555Liu, Cheng-Jie; Xie, Feng; Yang, Tong 21 2019 Weak solutions of general systems of hyperbolic conservation laws. Zbl 1041.35038Liu, Tai-Ping; Yang, Tong 20 2002 Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 20 2012 On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 20 2016 Nonlinear stability of boundary layers of the Boltzmann equation. I: The case \(\mathcal M^\infty<-1\). Zbl 1083.82028Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien 20 2004 \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces. Zbl 1101.76051Duan, Renjun; Yang, Tong; Zhu, Changjiang 19 2006 On the convergence rate of vanishing viscosity approximations. Zbl 1060.35109Bressan, Alberto; Yang, Tong 19 2004 Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 18 2013 Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014Li, Hailiang; Yang, Tong; Zou, Chen 18 2009 Existence and non-existence of global smooth solutions for \(p\)-system with relaxation. Zbl 0958.35081Yang, Tong; Zhu, Changjiang 18 2000 Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong 17 2004 Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping. Zbl 1035.35077Wang, Weike; Yang, Tong 16 2003 A new energy method for the Boltzmann equation. Zbl 1111.82048Yang, Tong; Zhao, Hui-Jiang 16 2006 Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry. Zbl 1320.35288Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu 15 2015 Convergence rates to travelling waves for a nonconvex relaxation model. Zbl 0919.35079Mei, Ming; Yang, Tong 15 1998 Global existence to Boltzmann equation with external force in infinite vacuum. Zbl 1110.82034Duan, Renjun; Yang, Tong; Zhu, Changjiang 15 2005 A new entropy functional for a scalar conservation law. Zbl 0941.35051Liu, Tai-Ping; Yang, Tong 14 1999 A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 14 2017 Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305Li, Wei-Xi; Yang, Tong 14 2020 \(L_1\) stability of conservation laws with coinciding Hugoniot and characteristic curves. Zbl 0935.35090Liu, Tai-Ping; Yang, Tong 13 1999 \(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544Liao, Jie; Wang, Weike; Yang, Tong 13 2009 Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161Yang, Tong; Yu, Hongjun 13 2012 A combination of energy method and spectral analysis for study of equations of gas motion. Zbl 1180.35103Duan, Renjun; Ukai, Seiji; Yang, Tong 13 2009 Convergence rate to stationary solutions for Boltzmann equation with external force. Zbl 1151.76571Ukai, Seiji; Yang, Tong; Zhao, Huijiang 13 2006 Compactness framework of \(L^p\) approximate solutions for scalar conservation laws. Zbl 0912.35106Yang, Tong; Zhu, Changjiang; Zhao, Huijiang 12 1998 Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials. Zbl 1112.76039Wang, Weike; Yang, Tong; Yang, Xiongfeng 12 2006 Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076Wang, Weike; Yang, Tong 12 2007 Stability of a relaxation model with a nonconvex flux. Zbl 0961.35017Liu, Hailiang; Wang, Jinghua; Yang, Tong 12 1998 Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying 12 2018 Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong 12 2017 Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125Morimoto, Yoshinori; Yang, Tong 11 2015 Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 11 2011 A functional integral approach to shock wave solutions of Euler equations with spherical symmetry. Zbl 0840.35062Yang, Tong 11 1995 Global BV solutions of compressible Euler equations with spherical symmetry and damping. Zbl 0916.35090Hsiao, Ling; Luo, Tao; Yang, Tong 11 1998 Optimal convergence rates of Landau equation with external forcing in the whole space. Zbl 1212.35490Yang, Tong; Yu, Hongjun 11 2009 The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443Xin, Zhouping; Yang, Tong; Yu, Hongjun 11 2012 Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008Li, Hai-Liang; Yang, Tong; Zhong, Mingying 11 2016 The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials. Zbl 1414.82027Duan, Renjun; Lei, Yuanjie; Yang, Tong; Zhao, Huijiang 11 2017 Non-cutoff Boltzmann equation with polynomial decay perturbations. Zbl 1459.35305Alonso, Ricardo; Morimoto, Yoshinori; Sun, Weiran; Yang, Tong 4 2021 Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386Li, Hai-Liang; Yang, Tong; Zhong, Mingying 3 2021 Well-posedness of the MHD boundary layer system in Gevrey function space without structural assumption. Zbl 1472.35304Li, Wei-Xi; Yang, Tong 2 2021 A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. Zbl 1462.35235Hu, Jingwei; Qi, Kunlun; Yang, Tong 2 2021 Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry. Zbl 1459.76121Wen, Huanyao; Yang, Tong; Zhao, Xinhua; Zhu, Changjiang 1 2021 Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121Li, Hai-Liang; Yang, Tong; Zhong, Mingying 1 2021 Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305Li, Wei-Xi; Yang, Tong 14 2020 Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces. Zbl 1445.76097Liu, Cheng-Jie; Wang, Dehua; Xie, Feng; Yang, Tong 7 2020 Green’s function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system. Zbl 1444.76003Li, Hai-Liang; Yang, Tong; Zhong, Mingying 1 2020 MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492Liu, Cheng-jie; Xie, Feng; Yang, Tong 29 2019 Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555Liu, Cheng-Jie; Xie, Feng; Yang, Tong 21 2019 Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow. Zbl 1414.76044Xie, Feng; Yang, Tong 9 2019 Local-in-time well-posedness for compressible MHD boundary layer. Zbl 1456.35162Huang, Yongting; Liu, Cheng-Jie; Yang, Tong 6 2019 Vanishing shear viscosity limit and boundary layer study for the planar MHD system. Zbl 1425.35162Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu 4 2019 Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying 12 2018 A note on the ill-posedness of shear flow for the MHD boundary layer equations. Zbl 1402.35316Liu, Cheng-Jie; Xie, Feng; Yang, Tong 10 2018 Global-in-time stability of 2D MHD boundary layer in the Prandtl-Hartmann regime. Zbl 1402.76111Xie, Feng; Yang, Tong 8 2018 A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 14 2017 Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong 12 2017 The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials. Zbl 1414.82027Duan, Renjun; Lei, Yuanjie; Yang, Tong; Zhao, Huijiang 11 2017 Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay. Zbl 1378.35331Liu, Cheng-Jie; Yang, Tong 11 2017 Moment classification of infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1368.35202Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 3 2017 Convergence to self-similar solutions for the homogeneous Boltzmann equation. Zbl 1379.82019Morimoto, Yoshinori; Yang, Tong; Zhao, Huijiang 1 2017 On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 20 2016 Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008Li, Hai-Liang; Yang, Tong; Zhong, Mingying 11 2016 Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure. Zbl 1353.35215Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong 10 2016 Spectrum analysis of some kinetic equations. Zbl 1348.35164Yang, Tong; Yu, Hongjun 9 2016 Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1360.35133Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 7 2016 Spectrum structure and behaviors of the Vlasov-Maxwell-Boltzmann systems. Zbl 1331.76107Li, Hai-Liang; Yang, Tong; Zhong, Mingying 5 2016 Time periodic solution to the compressible Navier-Stokes equations in a periodic domain. Zbl 1363.35273Jin, Chunhua; Yang, Tong 5 2016 Probability measures with finite moments and the homogeneous Boltzmann equation. Zbl 1347.35189Cho, Yong-Kum; Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 4 2016 Justification of limit for the Boltzmann equation related to Korteweg theory. Zbl 1352.35113Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong 2 2016 Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T. 83 2015 Vanishing shear viscosity and boundary layer for the Navier-Stokes equations with cylindrical symmetry. Zbl 1320.35288Qin, Xulong; Yang, Tong; Yao, Zheng-an; Zhou, Wenshu 15 2015 Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125Morimoto, Yoshinori; Yang, Tong 11 2015 A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1308.35155Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong 9 2015 Time periodic solution for a 3-D compressible Navier-Stokes system with an external force in \(\mathbb{R}^3\). Zbl 1319.35160Jin, Chunhua; Yang, Tong 9 2015 Local existence of polynomial decay solutions to the Boltzmann equation for soft potentials. Zbl 1326.35225Morimoto, Yoshinori; Yang, Tong 8 2015 Local well-posedness of Prandtl equations for compressible flow in two space variables. Zbl 1326.35290Wang, Ya-Guang; Xie, Feng; Yang, Tong 6 2015 A study on the boundary layer for the planar magnetohydrodynamics system. Zbl 1340.76074Qin, Xulong; Yang, Tong; Yao, Zheng’an; Zhou, Wenshu 5 2015 Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks. Zbl 1360.35178Huang, FeiMin; Wang, Yi; Wang, Yong; Yang, Tong 5 2015 One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data. Zbl 1304.35561Liu, Hongxia; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 36 2014 Compressible Navier-Stokes approximation to the Boltzmann equation. Zbl 1441.76105Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 4 2014 Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data. Zbl 1291.35237Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang 44 2013 The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056Duan, Renjun; Yang, Tong; Zhao, Huijiang 37 2013 The limit of the Boltzmann equation to the Euler equations for Riemann problems. Zbl 1367.76055Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong 27 2013 Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang 24 2013 Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 18 2013 The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential. Zbl 1232.35110Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 61 2012 The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174Duan, Renjun; Yang, Tong; Zhao, Huijiang 33 2012 Long-time behavior of solutions to the bipolar hydrodynamic model of semiconductors with boundary effect. Zbl 1248.35020Huang, Feimin; Mei, Ming; Wang, Yong; Yang, Tong 30 2012 Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem. Zbl 1286.76125Huang, Feimin; Wang, Yi; Yang, Tong 22 2012 Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1247.35085Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 20 2012 Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161Yang, Tong; Yu, Hongjun 13 2012 The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443Xin, Zhouping; Yang, Tong; Yu, Hongjun 11 2012 On the convergence rate of vanishing viscosity approximations for nonlinear hyperbolic systems. Zbl 1264.35017Bressan, Alberto; Huang, Feimin; Wang, Yong; Yang, Tong 6 2012 Waiting time for a non-Newtonian polytropic filtration equation with convection. Zbl 1242.76011Jin, Chunhua; Yang, Tong; Yin, Jingxue 1 2012 Global existence and full regularity of the Boltzmann equation without angular cutoff. Zbl 1230.35082Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 50 2011 The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions. Zbl 1426.76660Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 42 2011 The Boltzmann equation without angular cutoff in the whole space. II: Global existence for hard potential. Zbl 1220.35110Alexandre, R.; Morimoto, Y.; Ukai, S.; Xu, C.-J.; Yang, T. 36 2011 Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040Yang, Tong; Yu, Hongjun 35 2011 Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 11 2011 Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential. Zbl 1251.35062Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 6 2011 The compressible non-isentropic bipolar Navier-Stokes-Poisson system in \(\mathbb R^3\). Zbl 1265.35265Hsiao, Ling; Li, Hailiang; Yang, Tong; Zou, Chen 5 2011 Regularizing effect and local existence for the non-cutoff Boltzmann equation. Zbl 1257.76099Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 64 2010 Fluid dynamic limit to the Riemann solutions of Euler equations. I: Superposition of rarefaction waves and contact discontinuity. Zbl 1209.35098Huang, Feimin; Wang, Yi; Yang, Tong 31 2010 Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166Yang, Tong; Yu, Hongjun 28 2010 Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036Duan, Renjun; Yang, Tong 27 2010 Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006Degond, Pierre; Yang, Tong 26 2010 Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238Huang, Feimin; Wang, Yi; Yang, Tong 24 2010 Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136Ma, Hongfang; Ukai, Seiji; Yang, Tong 23 2010 Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302Yang, Tong; Yu, Hongjun 21 2010 Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. (Existence globale pour l’équation de Boltzmann sans troncature.) Zbl 1200.35296Alexandre, Radjesvarane; Morimoto, Y.; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 8 2010 A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws. Zbl 1194.65104Hua, Jiale; Jiang, Zaihong; Yang, Tong 5 2010 A note on the new Glimm functional for general systems of hyperbolic conservation laws. Zbl 1211.35186Hua, Jiale; Yang, Tong 2 2010 Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 51 2009 Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014Li, Hailiang; Yang, Tong; Zou, Chen 18 2009 \(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544Liao, Jie; Wang, Weike; Yang, Tong 13 2009 A combination of energy method and spectral analysis for study of equations of gas motion. Zbl 1180.35103Duan, Renjun; Ukai, Seiji; Yang, Tong 13 2009 Optimal convergence rates of Landau equation with external forcing in the whole space. Zbl 1212.35490Yang, Tong; Yu, Hongjun 11 2009 Regularity of solutions for the Boltzmann equation without angular cutoff. Zbl 1167.35322Alexandre, Radjesvarane; Morimoto, Yoshinore; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 7 2009 A lattice Boltzmann method for image denoising. Zbl 1371.94078Chang, Qianshun; Yang, Tong 6 2009 Exterior problem of Boltzmann equation with temperature difference. Zbl 1157.82037Ukai, Seiji; Yang, Tong; Zhao, Huijiang 4 2009 Stationary solutions to the exterior problems for the Boltzmann equation. I: Existence. Zbl 1156.76049Ukai, Seiji; Yang, Tong; Zhao, Huijiang 4 2009 Existence of local solutions for the Boltzmann equation without angular cutoff. Zbl 1179.35232Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 1 2009 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068Huang, Feimin; Xin, Zhouping; Yang, Tong 90 2008 Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications. Zbl 1175.82047Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 41 2008 Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong 40 2008 Uncertainty principle and kinetic equations. Zbl 1166.35038Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 33 2008 Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong 8 2008 Propagation of singularities in the solutions to the Boltzmann equation near equilibrium. Zbl 1147.76054Duan, Renjun; Li, Meng-Rong; Yang, Tong 8 2008 Stationary problem of Boltzmann equation. Zbl 1185.35002Ukai, Seiji; Yang, Tong 3 2008 Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang 106 2007 Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force. Zbl 1121.35096Duan, Renjun; Liu, Hongxia; Ukai, Seiji; Yang, Tong 92 2007 Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076Wang, Weike; Yang, Tong 12 2007 Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1253.82079Duan, Renjun; Yang, Tong; Zhu, Changjiang 8 2007 Navier-Stokes equations with degenerate viscosity, vacuum and gravitational force. Zbl 1128.35082Duan, Renjun; Yang, Tong; Zhu, Changjiang 5 2007 Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. Zbl 1144.81422Wang, Weike; Yang, Tong; Yang, Xiongfeng 5 2007 Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong 4 2007 Self-similar solutions and asymptotic behaviour for a class of degenerate and singular diffusion equations. Zbl 1131.35044Wang, Chunpeng; Yang, Tong; Yin, Jingxue 1 2007 ...and 83 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,049 Authors 109 Yang, Tong 66 Zhu, Changjiang 50 Zhao, Huijiang 45 Duan, Renjun 41 Tan, Zhong 41 Wang, Weike 33 Huang, Feimin 30 Li, Yeping 28 Morimoto, Yoshinori 26 Xin, Zhouping 25 Li, Hailiang 25 Liu, Shuangqian 24 Wang, Yi 23 Ha, Seung-Yeal 23 Xu, Chao-Jiang 23 Yao, Zhengan 23 Yuen, Manwai 21 Yu, Hongjun 20 Mei, Ming 20 Ukai, Seiji 19 Luo, Tao 19 Yang, Xiongfeng 19 Zhang, Yinghui 18 Guo, Zhenhua 17 Lian, Ruxu 17 Wen, Huanyao 16 Wu, Zhigang 16 Zhang, Ting 15 Pan, Ronghua 15 Yao, Lei 15 Yin, Haiyan 14 Ding, Shijin 14 Wang, Wenjun 14 Wu, Guochun 13 Alexandre, Radjesvarane 13 Jang, Juhi 13 Ruan, Lizhi 13 Shao, Zhiqiang 13 Zhu, Shengguo 12 Li, Weixi 12 Li, Yachun 12 Xiao, Qinghua 12 Zeng, Huihui 12 Zhang, Kaijun 11 Chen, Gui-Qiang G. 11 Chen, Zhengzheng 11 Liu, Cheng-Jie 11 Liu, Tai-Ping 11 Strain, Robert M. 11 Xie, Feng 11 Yu, Huimin 11 Zhong, Mingying 10 Fang, Daoyuan 10 Hsiao, Ling 10 Jiu, Quansen 10 Masmoudi, Nader 10 Peng, Hongyun 10 Wang, Tao 9 Geng, Shifeng 9 Guo, Boling 9 Guo, Yan 9 He, Lingbing 9 Li, Zilai 9 Wang, Yong 9 Yang, Bicheng 9 Yun, Seok-Bae 8 Cui, Haibo 8 Huang, Lan 8 Lei, Yuanjie 8 Li, Haoguang 8 Li, Yin 8 Ou, Yaobin 8 Wang, Shu 8 Wang, Teng 8 Wang, Yuxi 8 Wei, Ruiying 8 Xiong, Linjie 8 Zhang, Jianwen 8 Zhang, Zhifei 7 Amadori, Debora 7 Bernhoff, Niclas 7 Cai, Hong 7 Chen, Geng 7 Chen, Qing 7 Degond, Pierre 7 Duan, Ran 7 Gao, Jincheng 7 Gérard-Varet, David 7 Hong, GuangYi 7 Hou, Xiaofeng 7 Jiang, Mina 7 Jiang, Ning 7 Jiang, Zaihong 7 Kang, Moon-Jin 7 Li, Fucai 7 Liao, Yongkai 7 Liu, Hailiang 7 Liu, Hongxia 7 Liu, QingQing 7 Ma, Xuan ...and 949 more Authors all top 5 Cited in 157 Serials 244 Journal of Differential Equations 137 Journal of Mathematical Analysis and Applications 99 Archive for Rational Mechanics and Analysis 66 SIAM Journal on Mathematical Analysis 59 Nonlinear Analysis. 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