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Yang, Tong

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Author ID: yang.tong Recent zbMATH articles by "Yang, Tong"
Published as: Yang, T.; Yang, Tong
Homepage: http://www6.cityu.edu.hk/ma/people/profile/yangt.htm
External Links: MGP · ORCID · dblp
Documents Indexed: 201 Publications since 1989
Biographic References: 1 Publication
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Serials

35 Journal of Differential Equations
19 SIAM Journal on Mathematical Analysis
15 Archive for Rational Mechanics and Analysis
12 Communications in Mathematical Physics
8 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
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 Applied Mathematics Letters
2 Journal of the American Mathematical Society
2 Japan Journal of Industrial and Applied Mathematics
2 Taiwanese Journal of Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Journal of Computational and Applied Mathematics
1 Quarterly of Applied Mathematics
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 Acta Mathematicae Applicatae Sinica. English Series
1 Revista Matemática Iberoamericana
1 Acta Mathematica Scientia
1 Journal of Partial Differential Equations
1 Journal of the European Mathematical Society (JEMS)
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

Publications by Year

Citations contained in zbMATH Open

175 Publications have been cited 3,626 times in 1,393 Documents Cited by Year
Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1045.76038
Yang, Tong; Zhu, Changjiang
117
2002
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
116
2004
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
113
1998
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084
Yang, Tong; Yao, Zheng-an; Zhu, Changjiang
106
2001
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
96
2007
The pointwise estimates of solutions for Euler equations with damping in multi-dimensions. Zbl 0997.35039
Wang, Weike; Yang, Tong
84
2001
Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068
Huang, Feimin; Xin, Zhouping; Yang, Tong
82
2008
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
80
2007
\(L^1\) stability estimates for \(n\times n\) conservation laws. Zbl 0938.35093
Bressan, Alberto; Liu, Tai-Ping; Yang, Tong
72
1999
Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T.
66
2015
Nonlinear stability of strong rarefaction waves for compressible Navier-Stokes equations. Zbl 1065.35057
Nishihara, Kenji; Yang, Tong; Zhao, Huijiang
66
2004
Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II. Zbl 1025.35020
Vong, Seak-Weng; Yang, Tong; Zhu, Changjiang
66
2003
A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1003.76073
Yang, Tong; Zhao, Huijiang
66
2002
Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098
Luo, Tao; Xin, Zhouping; Yang, Tong
63
2000
\(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping. Zbl 0946.35012
Nishihara, Kenji; Wang, Weike; Yang, Tong
59
2000
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
55
2010
The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
53
2006
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.
51
2012
Solutions of Euler-Poisson equations for gaseous stars. Zbl 1038.76036
Deng, Yinbin; Liu, Tai-Ping; Yang, Tong; Yao, Zhengan
51
2002
Compressible Euler equations with vacuum. Zbl 0890.35111
Liu, Tai-Ping; Yang, Tong
51
1997
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
48
2009
Nonlinear stability of rarefaction waves for the Boltzmann equation. Zbl 1095.76024
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien; Zhao, Hui-Jiang
48
2006
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1129.35023
Yang, Tong; Zhao, Huijiang
45
2006
Compressible flow with vacuum and physical singularity. Zbl 1033.76050
Liu, Tai-Ping; Yang, Tong
42
2000
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.
41
2011
Nonlinear boundary layers of the Boltzmann equation. I: Existence. Zbl 1041.82017
Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien
41
2003
Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping. Zbl 0933.35121
Nishihara, Kenji; Yang, Tong
41
1999
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
40
2013
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
40
2008
Well-posedness theory for hyperbolic conservation laws. Zbl 1034.35073
Liu, Tai-Ping; Yang, Tong
39
1999
Cauchy problem for the Vlasov-Poisson-Boltzmann system. Zbl 1104.76086
Yang, Tong; Yu, Hongjun; Zhao, Huijiang
38
2006
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
36
2008
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.
35
2011
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
35
2006
Blowup phenomena of solutions to Euler–Poisson equations. Zbl 1032.35023
Deng, Yinbin; Xiang, Jianlin; Yang, Tong
35
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
34
2014
The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056
Duan, Renjun; Yang, Tong; Zhao, Huijiang
32
2013
Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040
Yang, Tong; Yu, Hongjun
31
2011
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
31
2008
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.
29
2011
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
29
2010
The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174
Duan, Renjun; Yang, Tong; Zhao, Huijiang
28
2012
Singular behavior of vacuum states for compressible fluids. Zbl 1083.76052
Yang, Tong
28
2006
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
28
2005
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
27
2012
Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166
Yang, Tong; Yu, Hongjun
26
2010
Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. Zbl 1024.35068
Kong, Dexing; Yang, Tong
26
2003
Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006
Degond, Pierre; Yang, Tong
25
2010
Local existence with physical vacuum boundary condition to Euler equations with damping. Zbl 1061.35049
Xu, Chao-Jiang; Yang, Tong
25
2005
The limit of the Boltzmann equation to the Euler equations for Riemann problems. Zbl 1367.76055
Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong
24
2013
Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Zbl 0986.35110
Hsiao, Ling; Yang, Tong
24
2001
Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
23
2013
Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036
Duan, Renjun; Yang, Tong
22
2010
Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238
Huang, Feimin; Wang, Yi; Yang, Tong
22
2010
Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. Zbl 1185.35035
Duan, Renjun; Yang, Tong; Zhu, Changjiang
22
2006
Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem. Zbl 1286.76125
Huang, Feimin; Wang, Yi; Yang, Tong
21
2012
Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136
Ma, Hongfang; Ukai, Seiji; Yang, Tong
21
2010
A half-space problem for the Boltzmann equation with specular reflection boundary condition. Zbl 1075.35060
Yang, Tong; Zhao, Hui-Jiang
21
2005
MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492
Liu, Cheng-jie; Xie, Feng; Yang, Tong
20
2019
Stability of contact discontinuity for the Boltzmann equation. Zbl 1139.35330
Huang, Feimin; Yang, Tong
20
2006
Weak solutions of general systems of hyperbolic conservation laws. Zbl 1041.35038
Liu, Tai-Ping; Yang, Tong
20
2002
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
19
2012
\(L^{1}\) and BV-type stability of the Boltzmann equation with external forces. Zbl 1101.76051
Duan, Renjun; Yang, Tong; Zhu, Changjiang
19
2006
Existence and non-existence of global smooth solutions for \(p\)-system with relaxation. Zbl 0958.35081
Yang, Tong; Zhu, Changjiang
19
2000
\(L_1\) stability for \(2\times 2\) systems of hyperbolic conservation laws. Zbl 0924.35083
Liu, Tai-Ping; Yang, Tong
19
1999
Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302
Yang, Tong; Yu, Hongjun
18
2010
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
18
2004
On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
17
2016
A new energy method for the Boltzmann equation. Zbl 1111.82048
Yang, Tong; Zhao, Hui-Jiang
17
2006
Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358
Chen, 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 1035.35077
Wang, Weike; Yang, Tong
17
2003
Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014
Li, Hailiang; Yang, Tong; Zou, Chen
15
2009
Global existence to Boltzmann equation with external force in infinite vacuum. Zbl 1110.82034
Duan, Renjun; Yang, Tong; Zhu, Changjiang
15
2005
On the convergence rate of vanishing viscosity approximations. Zbl 1060.35109
Bressan, Alberto; Yang, Tong
15
2004
Convergence rates to travelling waves for a nonconvex relaxation model. Zbl 0919.35079
Mei, Ming; Yang, Tong
15
1998
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
13
2015
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
Convergence rate to stationary solutions for Boltzmann equation with external force. Zbl 1151.76571
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
13
2006
A new entropy functional for a scalar conservation law. Zbl 0941.35051
Liu, Tai-Ping; Yang, Tong
13
1999
Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555
Liu, Cheng-Jie; Xie, Feng; Yang, Tong
12
2019
Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161
Yang, Tong; Yu, Hongjun
12
2012
\(L_1\) stability of conservation laws with coinciding Hugoniot and characteristic curves. Zbl 0935.35090
Liu, Tai-Ping; Yang, Tong
12
1999
Stability of a relaxation model with a nonconvex flux. Zbl 0961.35017
Liu, Hailiang; Wang, Jinghua; Yang, Tong
12
1998
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
11
2013
The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443
Xin, Zhouping; Yang, Tong; Yu, Hongjun
11
2012
Optimal convergence rates of Landau equation with external forcing in the whole space. Zbl 1212.35490
Yang, Tong; Yu, Hongjun
11
2009
\(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544
Liao, Jie; Wang, Weike; Yang, Tong
11
2009
Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076
Wang, Weike; Yang, Tong
11
2007
Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials. Zbl 1112.76039
Wang, Weike; Yang, Tong; Yang, Xiongfeng
11
2006
Compactness framework of \(L^p\) approximate solutions for scalar conservation laws. Zbl 0912.35106
Yang, Tong; Zhu, Changjiang; Zhao, Huijiang
11
1998
Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304
Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying
10
2018
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
10
2017
A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
10
2017
Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125
Morimoto, Yoshinori; Yang, Tong
10
2015
A sharp decay estimate for positive nonlinear waves. Zbl 1077.35088
Bressan, Alberto; Yang, Tong
10
2004
Decay rate for travelling waves of a relaxation model. Zbl 0908.35074
Liu, Hailiang; Woo, Ching Wah; Yang, Tong
10
1997
A functional integral approach to shock wave solutions of Euler equations with spherical symmetry. Zbl 0840.35062
Yang, Tong
10
1995
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
9
2018
Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay. Zbl 1378.35331
Liu, Cheng-Jie; Yang, Tong
9
2017
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
9
2016
Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305
Li, Wei-Xi; Yang, Tong
6
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
2
2020
MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492
Liu, Cheng-jie; Xie, Feng; Yang, Tong
20
2019
Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555
Liu, Cheng-Jie; Xie, Feng; Yang, Tong
12
2019
Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow. Zbl 1414.76044
Xie, Feng; Yang, Tong
5
2019
Local-in-time well-posedness for compressible MHD boundary layer. Zbl 1456.35162
Huang, Yongting; Liu, Cheng-Jie; Yang, Tong
4
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
2
2019
Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304
Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying
10
2018
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
9
2018
Global-in-time stability of 2D MHD boundary layer in the Prandtl-Hartmann regime. Zbl 1402.76111
Xie, Feng; Yang, Tong
6
2018
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
10
2017
A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
10
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
9
2017
Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097
Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong
8
2017
Moment classification of infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1368.35202
Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
4
2017
On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
17
2016
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
9
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
8
2016
Spectrum analysis of some kinetic equations. Zbl 1348.35164
Yang, Tong; Yu, Hongjun
6
2016
Time periodic solution to the compressible Navier-Stokes equations in a periodic domain. Zbl 1363.35273
Jin, Chunhua; Yang, Tong
5
2016
Spectrum structure and behaviors of the Vlasov-Maxwell-Boltzmann systems. Zbl 1331.76107
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
5
2016
Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1360.35133
Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
4
2016
Probability measures with finite moments and the homogeneous Boltzmann equation. Zbl 1347.35189
Cho, Yong-Kum; Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
3
2016
Justification of limit for the Boltzmann equation related to Korteweg theory. Zbl 1352.35113
Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong
2
2016
Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T.
66
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
13
2015
Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125
Morimoto, Yoshinori; Yang, Tong
10
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
8
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
7
2015
Local existence of polynomial decay solutions to the Boltzmann equation for soft potentials. Zbl 1326.35225
Morimoto, Yoshinori; Yang, Tong
6
2015
Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks. Zbl 1360.35178
Huang, FeiMin; Wang, Yi; Wang, Yong; Yang, Tong
5
2015
A study on the boundary layer for the planar magnetohydrodynamics system. Zbl 1340.76074
Qin, Xulong; Yang, Tong; Yao, Zheng’an; Zhou, Wenshu
4
2015
Local well-posedness of Prandtl equations for compressible flow in two space variables. Zbl 1326.35290
Wang, Ya-Guang; Xie, Feng; Yang, Tong
4
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
34
2014
Compressible Navier-Stokes approximation to the Boltzmann equation. Zbl 1441.76105
Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
3
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
40
2013
The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056
Duan, Renjun; Yang, Tong; Zhao, Huijiang
32
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
24
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
23
2013
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
11
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.
51
2012
The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174
Duan, Renjun; Yang, Tong; Zhao, Huijiang
28
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
27
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
21
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
19
2012
Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161
Yang, Tong; Yu, Hongjun
12
2012
The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443
Xin, Zhouping; Yang, Tong; Yu, Hongjun
11
2012
On the convergence rate of vanishing viscosity approximations for nonlinear hyperbolic systems. Zbl 1264.35017
Bressan, Alberto; Huang, Feimin; Wang, Yong; Yang, Tong
2
2012
Waiting time for a non-Newtonian polytropic filtration equation with convection. Zbl 1242.76011
Jin, Chunhua; Yang, Tong; Yin, Jingxue
1
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.
41
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.
35
2011
Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040
Yang, Tong; Yu, Hongjun
31
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.
29
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
9
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
5
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
5
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
55
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
29
2010
Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166
Yang, Tong; Yu, Hongjun
26
2010
Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006
Degond, Pierre; Yang, Tong
25
2010
Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036
Duan, Renjun; Yang, Tong
22
2010
Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238
Huang, Feimin; Wang, Yi; Yang, Tong
22
2010
Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136
Ma, Hongfang; Ukai, Seiji; Yang, Tong
21
2010
Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302
Yang, Tong; Yu, Hongjun
18
2010
Global well-posedness theory for the spatially inhomogeneous Boltzmann equation without angular cutoff. Zbl 1200.35296
Alexandre, 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 1194.65104
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
48
2009
Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014
Li, Hailiang; Yang, Tong; Zou, Chen
15
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
11
2009
\(L^p\) convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544
Liao, Jie; Wang, Weike; Yang, Tong
11
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
5
2009
Stationary solutions to the exterior problems for the Boltzmann equation. I: Existence. Zbl 1156.76049
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
4
2009
Exterior problem of Boltzmann equation with temperature difference. Zbl 1157.82037
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
82
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
40
2008
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
36
2008
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
31
2008
Propagation of singularities in the solutions to the Boltzmann equation near equilibrium. Zbl 1147.76054
Duan, Renjun; Li, Meng-Rong; Yang, Tong
8
2008
Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066
Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong
8
2008
Stationary problem of Boltzmann equation. Zbl 1185.35002
Ukai, Seiji; Yang, Tong
2
2008
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
96
2007
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
80
2007
Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076
Wang, Weike; Yang, Tong
11
2007
Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. Zbl 1144.81422
Wang, Weike; Yang, Tong; Yang, Xiongfeng
8
2007
Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1253.82079
Duan, Renjun; Yang, Tong; Zhu, Changjiang
7
2007
Navier-Stokes equations with degenerate viscosity, vacuum and gravitational force. Zbl 1128.35082
Duan, Renjun; Yang, Tong; Zhu, Changjiang
5
2007
Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019
Alexandre, 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 1131.35044
Wang, Chunpeng; Yang, Tong; Yin, Jingxue
1
2007
A nonlinear functional for general scalar hyperbolic conservation laws. Zbl 1168.35392
Liu, Hongxia; Yang, Tong
1
2007
Existence of strong travelling wave profiles to \(2\times 2\) systems of viscous conservation laws. Zbl 1114.35125
Yang, Tong; Zhang, Mei; Zhu, Changjiang
1
2007
The Boltzmann equation in the space \(L^2\cap L^\infty_\beta\): global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
53
2006
Nonlinear stability of rarefaction waves for the Boltzmann equation. Zbl 1095.76024
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien; Zhao, Hui-Jiang
48
2006
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1129.35023
Yang, Tong; Zhao, Huijiang
45
2006
Cauchy problem for the Vlasov-Poisson-Boltzmann system. Zbl 1104.76086
Yang, Tong; Yu, Hongjun; Zhao, Huijiang
38
2006
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
35
2006
Singular behavior of vacuum states for compressible fluids. Zbl 1083.76052
Yang, Tong
28
2006
...and 75 more Documents
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Cited by 1,043 Authors

106 Yang, Tong
62 Zhu, Changjiang
49 Zhao, Huijiang
41 Duan, Renjun
40 Wang, Weike
38 Tan, Zhong
31 Huang, Feimin
28 Li, Yeping
28 Morimoto, Yoshinori
24 Xu, Chao-Jiang
23 Ha, Seung-Yeal
23 Xin, Zhouping
23 Yuen, Manwai
22 Li, Hailiang
22 Liu, Shuangqian
22 Wang, Yi
21 Yu, Hongjun
20 Ukai, Seiji
19 Luo, Tao
19 Yao, Zhengan
18 Guo, Zhenhua
18 Yang, Xiongfeng
16 Lian, Ruxu
16 Mei, Ming
16 Wen, Huanyao
16 Wu, Zhigang
16 Zhang, Ting
16 Zhang, Yinghui
15 Pan, Ronghua
14 Yin, Haiyan
13 Alexandre, Radjesvarane
13 Shao, Zhiqiang
13 Yao, Lei
12 Ding, Shijin
12 Wang, Wenjun
12 Wu, Guochun
12 Xiao, Qinghua
11 Chen, Zhengzheng
11 Guo, Yan
11 Jang, Juhi
11 Li, Yachun
11 Liu, Tai-Ping
11 Ruan, Lizhi
11 Strain, Robert M.
11 Zeng, Huihui
10 Fang, Daoyuan
10 Hsiao, Ling
10 Jiu, Quansen
10 Liu, Cheng-Jie
10 Wang, Tao
10 Zhang, Kaijun
10 Zhu, Shengguo
9 Chen, Gui-Qiang G.
9 Guo, Boling
9 Xie, Feng
9 Yu, Huimin
9 Yun, Seok-Bae
8 Geng, Shifeng
8 He, Lingbing
8 Lei, Yuanjie
8 Li, Haoguang
8 Li, Weixi
8 Li, Zilai
8 Masmoudi, Nader
8 Wang, Shu
8 Wang, Yong
8 Yang, Bicheng
8 Zhong, Mingying
7 Amadori, Debora
7 Bernhoff, Niclas
7 Cai, Hong
7 Cui, Haibo
7 Degond, Pierre
7 Duan, Ran
7 Huang, Lan
7 Jiang, Zaihong
7 Kang, Moon-Jin
7 LeFloch, Philippe Gerard
7 Li, Yin
7 Liu, Hongxia
7 Ma, Xuan
7 Peng, Hongyun
7 Pu, Xueke
7 Vasseur, Alexis F.
7 Wang, Ya-Guang
7 Wei, Ruiying
7 Xiong, Linjie
7 Xu, Jiang
7 Zhang, Xianwen
6 Chen, Geng
6 Chen, Qing
6 Deng, Shijin
6 Evje, Steinar
6 Hong, GuangYi
6 Hou, Xiaofeng
6 Jiang, Mina
6 Liu, Hailiang
6 Liu, Jian
6 Liu, Jianli
6 Ma, Shixiang
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Cited in 149 Serials

231 Journal of Differential Equations
126 Journal of Mathematical Analysis and Applications
88 Archive for Rational Mechanics and Analysis
58 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
54 Journal of Mathematical Physics
46 SIAM Journal on Mathematical Analysis
43 ZAMP. Zeitschrift für angewandte Mathematik und Physik
40 Communications in Mathematical Physics
39 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
35 Nonlinear Analysis. Real World Applications
32 Kinetic and Related Models
30 Journal of Statistical Physics
29 Mathematical Methods in the Applied Sciences
23 Discrete and Continuous Dynamical Systems
23 Communications on Pure and Applied Analysis
21 Communications in Partial Differential Equations
20 Applicable Analysis
20 Acta Mathematicae Applicatae Sinica. English Series
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Analysis and Applications (Singapore)
18 Journal of Hyperbolic Differential Equations
16 Quarterly of Applied Mathematics
16 Science China. Mathematics
13 Boundary Value Problems
12 Advances in Mathematics
12 Chinese Annals of Mathematics. Series B
11 Journal of Functional Analysis
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Discrete and Continuous Dynamical Systems. Series B
9 Communications on Pure and Applied Mathematics
9 Acta Applicandae Mathematicae
8 Nonlinearity
7 Applied Mathematics Letters
7 Calculus of Variations and Partial Differential Equations
6 Journal of Computational Physics
6 Physica D
6 Journal of Mathematical Fluid Mechanics
6 Acta Mathematica Sinica. English Series
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Applied Mathematics and Computation
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5 Journal of Applied Mathematics
5 Annals of PDE
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4 Electronic Journal of Differential Equations (EJDE)
4 Bulletin of the Brazilian Mathematical Society. New Series
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3 Science in China. Series A
3 NoDEA. Nonlinear Differential Equations and Applications
3 Wuhan University Journal of Natural Sciences (WUJNS)
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2 Osaka Journal of Mathematics
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2 SIAM Journal on Applied Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Dynamics and Differential Equations
2 Journal of Nonlinear Science
2 Applied Mathematics. Series B (English Edition)
2 Physics of Fluids
2 Mathematical Problems in Engineering
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Communications in Nonlinear Science and Numerical Simulation
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
2 EMS Surveys in Mathematical Sciences
2 Electronic Research Archive
1 General Relativity and Gravitation
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1 Acta Mathematica Vietnamica
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1 BIT
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