## Yang, Tong

Compute Distance To:
 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 2,117 Co-Co-Authors
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

183 Publications have been cited 4,020 times in 1,551 Documents Cited by Year
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
1998
Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. Zbl 1045.76038
Yang, Tong; Zhu, Changjiang
2002
Energy method for Boltzmann equation. Zbl 1098.82618
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien
2004
Compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 0982.35084
Yang, Tong; Yao, Zheng-an; Zhu, Changjiang
2001
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2007
The pointwise estimates of solutions for Euler equations with damping in multi-dimensions. Zbl 0997.35039
Wang, Weike; Yang, Tong
2001
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
2007
Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068
Huang, Feimin; Xin, Zhouping; Yang, Tong
2008
Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T.
2015
Nonlinear stability of strong rarefaction waves for compressible Navier-Stokes equations. Zbl 1065.35057
Nishihara, Kenji; Yang, Tong; Zhao, Huijiang
2004
A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1003.76073
Yang, Tong; Zhao, Huijiang
2002
$$L_p$$-convergence rate to nonlinear diffusion waves for $$p$$-system with damping. Zbl 0946.35012
Nishihara, Kenji; Wang, Weike; Yang, Tong
2000
Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II. Zbl 1025.35020
Vong, Seak-Weng; Yang, Tong; Zhu, Changjiang
2003
Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098
Luo, Tao; Xin, Zhouping; Yang, Tong
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
2010
$$L^1$$ stability estimates for $$n\times n$$ conservation laws. Zbl 0938.35093
Bressan, Alberto; Liu, Tai-Ping; Yang, Tong
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.
2012
Solutions of Euler-Poisson equations for gaseous stars. Zbl 1038.76036
Deng, Yinbin; Liu, Tai-Ping; Yang, Tong; Yao, Zhengan
2002
Compressible Euler equations with vacuum. Zbl 0890.35111
Liu, Tai-Ping; Yang, Tong
1997
The Boltzmann equation in the space $$L^2\cap L^\infty_\beta$$: global and time-periodic solutions. Zbl 1096.35012
Ukai, Seiji; Yang, Tong
2006
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2009
Nonlinear stability of rarefaction waves for the Boltzmann equation. Zbl 1095.76024
Liu, Tai-Ping; Yang, Tong; Yu, Shih-Hsien; Zhao, Hui-Jiang
2006
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.
2011
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1129.35023
Yang, Tong; Zhao, Huijiang
2006
Boundary effect on asymptotic behaviour of solutions to the $$p$$-system with linear damping. Zbl 0933.35121
Nishihara, Kenji; Yang, Tong
1999
Compressible flow with vacuum and physical singularity. Zbl 1033.76050
Liu, Tai-Ping; Yang, Tong
2000
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
2013
Nonlinear boundary layers of the Boltzmann equation. I: Existence. Zbl 1041.82017
Ukai, Seiji; Yang, Tong; Yu, Shih-Hsien
2003
Cauchy problem for the Vlasov-Poisson-Boltzmann system. Zbl 1104.76086
Yang, Tong; Yu, Hongjun; Zhao, Huijiang
2006
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.
2011
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
2008
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
2008
Well-posedness theory for hyperbolic conservation laws. Zbl 1034.35073
Liu, Tai-Ping; Yang, Tong
1999
Convergence rate for the compressible Navier–Stokes equations with external force. Zbl 1184.35251
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2006
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
2014
The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056
Duan, Renjun; Yang, Tong; Zhao, Huijiang
2013
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.
2011
Blowup phenomena of solutions to Euler–Poisson equations. Zbl 1032.35023
Deng, Yinbin; Xiang, Jianlin; Yang, Tong
2003
Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040
Yang, Tong; Yu, Hongjun
2011
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2008
The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174
Duan, Renjun; Yang, Tong; Zhao, Huijiang
2012
Singular behavior of vacuum states for compressible fluids. Zbl 1083.76052
Yang, Tong
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
2010
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
2012
MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492
Liu, Cheng-jie; Xie, Feng; Yang, Tong
2019
Global solutions to the Boltzmann equation with external forces. Zbl 1152.76464
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2005
Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166
Yang, Tong; Yu, Hongjun
2010
The limit of the Boltzmann equation to the Euler equations for Riemann problems. Zbl 1367.76055
Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong
2013
Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036
Duan, Renjun; Yang, Tong
2010
Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006
Degond, Pierre; Yang, Tong
2010
Asymptotic behavior of global classical solutions of quasilinear hyperbolic systems. Zbl 1024.35068
Kong, Dexing; Yang, Tong
2003
Local existence with physical vacuum boundary condition to Euler equations with damping. Zbl 1061.35049
Xu, Chao-Jiang; Yang, Tong
2005
Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors. Zbl 0986.35110
Hsiao, Ling; Yang, Tong
2001
Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238
Huang, Feimin; Wang, Yi; Yang, Tong
2010
Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. Zbl 1288.35476
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
2013
Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. Zbl 1185.35035
Duan, Renjun; Yang, Tong; Zhu, Changjiang
2006
Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136
Ma, Hongfang; Ukai, Seiji; Yang, Tong
2010
Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302
Yang, Tong; Yu, Hongjun
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
2012
Stability of contact discontinuity for the Boltzmann equation. Zbl 1139.35330
Huang, Feimin; Yang, Tong
2006
$$L_1$$ stability for $$2\times 2$$ systems of hyperbolic conservation laws. Zbl 0924.35083
Liu, Tai-Ping; Yang, Tong
1999
A half-space problem for the Boltzmann equation with specular reflection boundary condition. Zbl 1075.35060
Yang, Tong; Zhao, Hui-Jiang
2005
Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555
Liu, Cheng-Jie; Xie, Feng; Yang, Tong
2019
On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
2016
Weak solutions of general systems of hyperbolic conservation laws. Zbl 1041.35038
Liu, Tai-Ping; Yang, Tong
2002
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
2004
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
2012
On the convergence rate of vanishing viscosity approximations. Zbl 1060.35109
Bressan, Alberto; Yang, Tong
2004
$$L^{1}$$ and BV-type stability of the Boltzmann equation with external forces. Zbl 1101.76051
Duan, Renjun; Yang, Tong; Zhu, Changjiang
2006
Existence and non-existence of global smooth solutions for $$p$$-system with relaxation. Zbl 0958.35081
Yang, Tong; Zhu, Changjiang
2000
Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014
Li, Hailiang; Yang, Tong; Zou, Chen
2009
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2013
Existence of boundary layer solutions to the Boltzmann equation. Zbl 1172.35358
Chen, Chiun-Chuan; Liu, Tai-Ping; Yang, Tong
2004
Pointwise estimates and $$L_p$$ convergence rates to diffusion waves for $$p$$-system with damping. Zbl 1035.35077
Wang, Weike; Yang, Tong
2003
A new energy method for the Boltzmann equation. Zbl 1111.82048
Yang, Tong; Zhao, Hui-Jiang
2006
Convergence rates to travelling waves for a nonconvex relaxation model. Zbl 0919.35079
Mei, Ming; Yang, Tong
1998
Global existence to Boltzmann equation with external force in infinite vacuum. Zbl 1110.82034
Duan, Renjun; Yang, Tong; Zhu, Changjiang
2005
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
2015
$$L_1$$ stability of conservation laws with coinciding Hugoniot and characteristic curves. Zbl 0935.35090
Liu, Tai-Ping; Yang, Tong
1999
A new entropy functional for a scalar conservation law. Zbl 0941.35051
Liu, Tai-Ping; Yang, Tong
1999
A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
2017
Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305
Li, Wei-Xi; Yang, Tong
2020
Convergence rate to stationary solutions for Boltzmann equation with external force. Zbl 1151.76571
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2006
A combination of energy method and spectral analysis for study of equations of gas motion. Zbl 1180.35103
Duan, Renjun; Ukai, Seiji; Yang, Tong
2009
Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161
Yang, Tong; Yu, Hongjun
2012
$$L^p$$ convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544
Liao, Jie; Wang, Weike; Yang, Tong
2009
Stability of a relaxation model with a nonconvex flux. Zbl 0961.35017
Liu, Hailiang; Wang, Jinghua; Yang, Tong
1998
Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304
Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying
2018
Compactness framework of $$L^p$$ approximate solutions for scalar conservation laws. Zbl 0912.35106
Yang, Tong; Zhu, Changjiang; Zhao, Huijiang
1998
Nonlinear stability of boundary layers of the Boltzmann equation for cutoff hard potentials. Zbl 1112.76039
Wang, Weike; Yang, Tong; Yang, Xiongfeng
2006
Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076
Wang, Weike; Yang, Tong
2007
Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097
Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong
2017
Optimal convergence rates of Landau equation with external forcing in the whole space. Zbl 1212.35490
Yang, Tong; Yu, Hongjun
2009
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2016
A functional integral approach to shock wave solutions of Euler equations with spherical symmetry. Zbl 0840.35062
Yang, Tong
1995
Global BV solutions of compressible Euler equations with spherical symmetry and damping. Zbl 0916.35090
Hsiao, Ling; Luo, Tao; Yang, Tong
1998
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
2017
Bounded solutions of the Boltzmann equation in the whole space. Zbl 1215.35115
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2011
The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443
Xin, Zhouping; Yang, Tong; Yu, Hongjun
2012
Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125
Morimoto, Yoshinori; Yang, Tong
2015
Non-cutoff Boltzmann equation with polynomial decay perturbations. Zbl 1459.35305
Alonso, Ricardo; Morimoto, Yoshinori; Sun, Weiran; Yang, Tong
2021
Spectrum analysis for the Vlasov-Poisson-Boltzmann system. Zbl 1472.35386
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2021
Well-posedness of the MHD boundary layer system in Gevrey function space without structural assumption. Zbl 1472.35304
Li, Wei-Xi; Yang, Tong
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
2021
Diffusion limit of the Vlasov-Poisson-Boltzmann system. Zbl 1479.76121
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
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
2021
Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. Zbl 1442.35305
Li, Wei-Xi; Yang, Tong
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
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
2020
MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. Zbl 1404.35492
Liu, Cheng-jie; Xie, Feng; Yang, Tong
2019
Justification of Prandtl ansatz for MHD boundary layer. Zbl 1419.76555
Liu, Cheng-Jie; Xie, Feng; Yang, Tong
2019
Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow. Zbl 1414.76044
Xie, Feng; Yang, Tong
2019
Local-in-time well-posedness for compressible MHD boundary layer. Zbl 1456.35162
Huang, Yongting; Liu, Cheng-Jie; Yang, Tong
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
2019
Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system. Zbl 1382.35304
Li, Hailiang; Wang, Yi; Yang, Tong; Zhong, Mingying
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
2018
Global-in-time stability of 2D MHD boundary layer in the Prandtl-Hartmann regime. Zbl 1402.76111
Xie, Feng; Yang, Tong
2018
A well-posedness theory for the Prandtl equations in three space variables. Zbl 1360.35182
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
2017
Global well-posedness of the Boltzmann equation with large amplitude initial data. Zbl 1367.35097
Duan, Renjun; Huang, Feimin; Wang, Yong; Yang, Tong
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
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
2017
Moment classification of infinite energy solutions to the homogeneous Boltzmann equation. Zbl 1368.35202
Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
2017
Convergence to self-similar solutions for the homogeneous Boltzmann equation. Zbl 1379.82019
Morimoto, Yoshinori; Yang, Tong; Zhao, Huijiang
2017
On the ill-posedness of the Prandtl equations in three-dimensional space. Zbl 1341.35120
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
2016
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations. Zbl 1348.35008
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
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
2016
Spectrum analysis of some kinetic equations. Zbl 1348.35164
Yang, Tong; Yu, Hongjun
2016
Measure valued solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1360.35133
Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
2016
Time periodic solution to the compressible Navier-Stokes equations in a periodic domain. Zbl 1363.35273
Jin, Chunhua; Yang, Tong
2016
Spectrum structure and behaviors of the Vlasov-Maxwell-Boltzmann systems. Zbl 1331.76107
Li, Hai-Liang; Yang, Tong; Zhong, Mingying
2016
Probability measures with finite moments and the homogeneous Boltzmann equation. Zbl 1347.35189
Cho, Yong-Kum; Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
2016
Justification of limit for the Boltzmann equation related to Korteweg theory. Zbl 1352.35113
Huang, Feimin; Wang, Yi; Wang, Yong; Yang, Tong
2016
Well-posedness of the Prandtl equation in Sobolev spaces. Zbl 1317.35186
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T.
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
2015
Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum. Zbl 1321.35125
Morimoto, Yoshinori; Yang, Tong
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
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
2015
Local existence of polynomial decay solutions to the Boltzmann equation for soft potentials. Zbl 1326.35225
Morimoto, Yoshinori; Yang, Tong
2015
Local well-posedness of Prandtl equations for compressible flow in two space variables. Zbl 1326.35290
Wang, Ya-Guang; Xie, Feng; Yang, Tong
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
2015
Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks. Zbl 1360.35178
Huang, FeiMin; Wang, Yi; Wang, Yong; Yang, Tong
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
2014
Compressible Navier-Stokes approximation to the Boltzmann equation. Zbl 1441.76105
Liu, Shuangqian; Yang, Tong; Zhao, Huijiang
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
2013
The Vlasov-Poisson-Boltzmann system for soft potentials. Zbl 1437.76056
Duan, Renjun; Yang, Tong; Zhao, Huijiang
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
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
2013
Local existence with mild regularity for the Boltzmann equation. Zbl 1284.35301
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
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.
2012
The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case. Zbl 1247.35174
Duan, Renjun; Yang, Tong; Zhao, Huijiang
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
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
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
2012
Global solutions to the relativistic Landau-Maxwell system in the whole space. Zbl 1251.35161
Yang, Tong; Yu, Hongjun
2012
The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443
Xin, Zhouping; Yang, Tong; Yu, Hongjun
2012
On the convergence rate of vanishing viscosity approximations for nonlinear hyperbolic systems. Zbl 1264.35017
Bressan, Alberto; Huang, Feimin; Wang, Yong; Yang, Tong
2012
Waiting time for a non-Newtonian polytropic filtration equation with convection. Zbl 1242.76011
Jin, Chunhua; Yang, Tong; Yin, Jingxue
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.
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.
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.
2011
Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system. Zbl 1233.35040
Yang, Tong; Yu, Hongjun
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
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
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
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
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
2010
Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space. Zbl 1397.35166
Yang, Tong; Yu, Hongjun
2010
Stability of the one-species Vlasov-Poisson-Boltzmann system. Zbl 1323.82036
Duan, Renjun; Yang, Tong
2010
Diffusion in a continuum model of self-propelled particles with alignment interaction. Zbl 1420.76006
Degond, Pierre; Yang, Tong
2010
Hydrodynamic limit of the Boltzmann equation with contact discontinuities. Zbl 1195.35238
Huang, Feimin; Wang, Yi; Yang, Tong
2010
Time periodic solutions of compressible Navier-Stokes equations. Zbl 1188.35136
Ma, Hongfang; Ukai, Seiji; Yang, Tong
2010
Global classical solutions for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1219.35302
Yang, Tong; Yu, Hongjun
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
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
2010
A note on the new Glimm functional for general systems of hyperbolic conservation laws. Zbl 1211.35186
Hua, Jiale; Yang, Tong
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
2009
Time asymptotic behavior of the bipolar Navier-Stokes-Poisson system. Zbl 1212.35014
Li, Hailiang; Yang, Tong; Zou, Chen
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
2009
$$L^p$$ convergence rates of planar waves for multi-dimensional Euler equations with damping. Zbl 1170.35544
Liao, Jie; Wang, Weike; Yang, Tong
2009
Optimal convergence rates of Landau equation with external forcing in the whole space. Zbl 1212.35490
Yang, Tong; Yu, Hongjun
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
2009
A lattice Boltzmann method for image denoising. Zbl 1371.94078
Chang, Qianshun; Yang, Tong
2009
Exterior problem of Boltzmann equation with temperature difference. Zbl 1157.82037
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
2009
Stationary solutions to the exterior problems for the Boltzmann equation. I: Existence. Zbl 1156.76049
Ukai, Seiji; Yang, Tong; Zhao, Huijiang
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
2009
Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068
Huang, Feimin; Xin, Zhouping; Yang, Tong
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
2008
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1158.35332
Huo, Zhaohui; Morimoto, Yoshinori; Ukai, Seiji; Yang, Tong
2008
Uncertainty principle and kinetic equations. Zbl 1166.35038
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2008
Kinetic equations: fluid dynamical limits and viscous heating. Zbl 1151.35066
Bardos, Claude; Levermore, C. David; Ukai, Seiji; Yang, Tong
2008
Propagation of singularities in the solutions to the Boltzmann equation near equilibrium. Zbl 1147.76054
Duan, Renjun; Li, Meng-Rong; Yang, Tong
2008
Stationary problem of Boltzmann equation. Zbl 1185.35002
Ukai, Seiji; Yang, Tong
2008
Optimal convergence rates for the compressible Navier-Stokes equations with potential forces. Zbl 1122.35093
Duan, Renjun; Ukai, Seiji; Yang, Tong; Zhao, Huijiang
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
2007
Existence and stability of planar diffusion waves for 2D Euler equations with damping. Zbl 1147.35076
Wang, Weike; Yang, Tong
2007
Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system. Zbl 1253.82079
Duan, Renjun; Yang, Tong; Zhu, Changjiang
2007
Navier-Stokes equations with degenerate viscosity, vacuum and gravitational force. Zbl 1128.35082
Duan, Renjun; Yang, Tong; Zhu, Changjiang
2007
Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. Zbl 1144.81422
Wang, Weike; Yang, Tong; Yang, Xiongfeng
2007
Uncertainty principle and regularity for Boltzmann type equations. Zbl 1149.35019
Alexandre, Radjesvarane; Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
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
2007
...and 83 more Documents
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### Cited by 1,052 Authors

 109 Yang, Tong 66 Zhu, Changjiang 50 Zhao, Huijiang 45 Duan, Renjun 42 Wang, Weike 41 Tan, Zhong 33 Huang, Feimin 30 Li, Yeping 28 Morimoto, Yoshinori 26 Xin, Zhouping 25 Li, Hailiang 25 Liu, Shuangqian 24 Wang, Yi 24 Yao, Zhengan 23 Ha, Seung-Yeal 23 Xu, Chao-Jiang 23 Yuen, Manwai 21 Yu, Hongjun 20 Mei, Ming 20 Ukai, Seiji 20 Yang, Xiongfeng 19 Luo, Tao 19 Zhang, Yinghui 18 Guo, Zhenhua 17 Lian, Ruxu 17 Wen, Huanyao 16 Wu, Zhigang 16 Zhang, Ting 15 Ding, Shijin 15 Pan, Ronghua 15 Yao, Lei 15 Yin, Haiyan 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 Geng, Shifeng 10 Hsiao, Ling 10 Jiu, Quansen 10 Masmoudi, Nader 10 Peng, Hongyun 10 Wang, Tao 9 Guo, Boling 9 Guo, Yan 9 He, Lingbing 9 Li, Haoguang 9 Li, Yin 9 Li, Zilai 9 Wang, Yong 9 Wei, Ruiying 9 Yang, Bicheng 9 Yun, Seok-Bae 8 Cui, Haibo 8 Huang, Lan 8 Lei, Yuanjie 8 Ou, Yaobin 8 Wang, Shu 8 Wang, Teng 8 Wang, Yuxi 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 Fan, Lili 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, Jie 7 Liao, Yongkai 7 Liu, Hailiang 7 Liu, Hongxia ...and 952 more Authors
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### 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. Theory, Methods & Applications. Series A: Theory and Methods 55 Journal of Mathematical Physics 49 ZAMP. Zeitschrift für angewandte Mathematik und Physik 43 Nonlinear Analysis. Real World Applications 42 Communications in Mathematical Physics 39 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 35 Kinetic and Related Models 34 Journal of Statistical Physics 29 Mathematical Methods in the Applied Sciences 25 Communications on Pure and Applied Analysis 24 Applicable Analysis 24 Discrete and Continuous Dynamical Systems 21 Acta Mathematicae Applicatae Sinica. English Series 21 Communications in Partial Differential Equations 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 21 Journal of Hyperbolic Differential Equations 19 Analysis and Applications (Singapore) 18 Acta Mathematica Scientia. Series B. (English Edition) 18 Science China. Mathematics 17 Quarterly of Applied Mathematics 15 Boundary Value Problems 14 Advances in Mathematics 14 Chinese Annals of Mathematics. Series B 12 Journal of Functional Analysis 11 Nonlinearity 11 Discrete and Continuous Dynamical Systems. Series B 10 Acta Applicandae Mathematicae 10 Calculus of Variations and Partial Differential Equations 9 Communications on Pure and Applied Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Journal of Mathematical Fluid Mechanics 8 Applied Mathematics Letters 7 Physica D 7 Advances in Mathematical Physics 7 Annals of PDE 6 Journal of Computational Physics 6 Journal of Inequalities and Applications 6 Acta Mathematica Sinica. English Series 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Séminaire Laurent Schwartz. EDP et Applications 6 Electronic Research Archive 5 Transactions of the American Mathematical Society 5 Abstract and Applied Analysis 5 Journal of Applied Mathematics 4 Mathematics of Computation 4 Applied Mathematics and Computation 4 Electronic Journal of Differential Equations (EJDE) 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Evolution Equations 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Multiscale Modeling & Simulation 3 Journal of Computational and Applied Mathematics 3 Mathematische Nachrichten 3 Journal of the American Mathematical Society 3 Mathematical and Computer Modelling 3 Asymptotic Analysis 3 Science in China. Series A 3 Journal of Nonlinear Science 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Mathematical Analysis 3 Frontiers of Mathematics in China 3 Advances in Nonlinear Analysis 2 Computers & Mathematics with Applications 2 Indiana University Mathematics Journal 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Ricerche di Matematica 2 Applications of Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Applied Mathematics. Series B (English Edition) 2 Physics of Fluids 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 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 Analysis and Mathematical Physics 2 EMS Surveys in Mathematical Sciences 1 General Relativity and Gravitation 1 Journal of Mathematical Biology 1 Transport Theory and Statistical Physics 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 BIT 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal ...and 57 more Serials
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### Cited in 33 Fields

 1,448 Partial differential equations (35-XX) 933 Fluid mechanics (76-XX) 291 Statistical mechanics, structure of matter (82-XX) 45 Numerical analysis (65-XX) 40 Astronomy and astrophysics (85-XX) 39 Biology and other natural sciences (92-XX) 32 Optics, electromagnetic theory (78-XX) 23 Mechanics of deformable solids (74-XX) 22 Classical thermodynamics, heat transfer (80-XX) 19 Operator theory (47-XX) 18 Ordinary differential equations (34-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Integral equations (45-XX) 14 Real functions (26-XX) 14 Probability theory and stochastic processes (60-XX) 14 Relativity and gravitational theory (83-XX) 10 Systems theory; control (93-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Operations research, mathematical programming (90-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geophysics (86-XX) 2 Mechanics of particles and systems (70-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)