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Author ID: yang.tong Recent zbMATH articles by "Yang, Tong"
Published as: Yang, Tong; Yang, T.
Homepage: http://www6.cityu.edu.hk/ma/people/profile/yangt.htm
External Links: MGP · ORCID · dblp
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

Publications by Year

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&rsquo;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
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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
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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. Theory, Methods & Applications. Series A: Theory and Methods
58 ZAMP. Zeitschrift für angewandte Mathematik und Physik
55 Nonlinear Analysis. Real World Applications
45 Communications in Mathematical Physics
44 Mathematical Methods in the Applied Sciences
43 Journal of Statistical Physics
43 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
42 Acta Mathematica Scientia. Series B. (English Edition)
38 Kinetic and Related Models
30 Applicable Analysis
30 Discrete and Continuous Dynamical Systems
30 Communications on Pure and Applied Analysis
27 Science China. Mathematics
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
25 Acta Mathematicae Applicatae Sinica. English Series
24 Journal of Hyperbolic Differential Equations
22 Analysis and Applications (Singapore)
21 Communications in Partial Differential Equations
21 Discrete and Continuous Dynamical Systems. Series B
20 Quarterly of Applied Mathematics
19 Nonlinearity
18 Advances in Mathematics
18 Boundary Value Problems
16 Journal of Functional Analysis
16 Chinese Annals of Mathematics. Series B
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Calculus of Variations and Partial Differential Equations
14 Journal of Mathematical Fluid Mechanics
12 Acta Applicandae Mathematicae
11 Communications on Pure and Applied Mathematics
9 Journal of Evolution Equations
9 Annals of PDE
9 Communications in Mathematical Analysis and Applications
8 Physica D
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8 Electronic Research Archive
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6 Abstract and Applied Analysis
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6 Acta Mathematica Sinica. English Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Bulletin of the Brazilian Mathematical Society. New Series
6 Advances in Nonlinear Analysis
6 Séminaire Laurent Schwartz. EDP et Applications
5 Transactions of the American Mathematical Society
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4 Mathematics of Computation
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3 Journal of Computational and Applied Mathematics
3 Mathematische Nachrichten
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3 Mathematical and Computer Modelling
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3 Science in China. Series A
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3 Wuhan University Journal of Natural Sciences (WUJNS)
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3 Frontiers of Mathematics in China
3 Networks and Heterogeneous Media
2 Computers & Mathematics with Applications
2 Annales Polonici Mathematici
2 Indiana University Mathematics Journal
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2 Applied Mathematics. Series B (English Edition)
2 Physics of Fluids
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2 Communications in Nonlinear Science and Numerical Simulation
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
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Cited in 35 Fields

1,807 Partial differential equations (35-XX)
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