Edit Profile (opens in new tab) Xin, Zhouping Co-Author Distance Author ID: xin.zhouping Published as: Xin, Zhouping; Xin, Zhou-Ping; Xin, Z. P.; Xin, Zhou Ping; Xi, Zhouping more...less Homepage: https://www.math.cuhk.edu.hk/people/academic-staff/zpxin External Links: MGP · Wikidata · ResearchGate · dblp · IdRef Documents Indexed: 224 Publications since 1987, including 24 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 107 Co-Authors with 204 Joint Publications 4,518 Co-Co-Authors all top 5 Co-Authors 24 single-authored 17 Jiu, Quansen 16 Yin, Huicheng 10 Li, Jing 10 Xie, Chunjing 9 Huang, Xiangdi 9 Luo, Tao 8 Li, Jinkai 8 Liu, Jianguo 8 Wang, Chunpeng 8 Weng, Shangkun 7 Wang, Yi 7 Xiao, Yuelong 6 Li, Hailiang 6 Li, Jun 5 Du, Lili 5 He, Cheng 5 Liu, Tai-Ping 5 Wang, Yanjin 5 Yan, Wei 5 Yang, Tong 5 Zeng, Huihui 4 Guo, Zhenhua 4 Huang, Feimin 4 Jin, Shi 4 Wang, Yuexun 4 Zhu, Shengguo 3 Ding, Bingbing 3 Duan, Qin 3 Rauch, Jeffrey B. 3 Titi, Edriss Saleh 3 Xu, Wenqing 3 Yuan, Qian 3 Zhang, Ping 2 Ding, Shijin 2 Hong, Minchun 2 Hsiao, Ling 2 Jiang, Song 2 Kan, Pui Tak 2 Lau, Kasing 2 Li, Quanrong 2 Liu, Sicheng 2 Lopes Filho, Milton da Costa 2 Luo, Tianwen 2 Niu, Dongjuan 2 Nussenzveig Lopes, Helena Judith 2 Qu, Peng 2 Santos, Marcelo M. 2 Tian, Gang 2 Wang, Shu 2 Wang, Ya-Guang 2 Wang, Yong 2 Wang, Yun 2 Yau, Shing-Tung 2 Yuan, Hongwei 2 Yuan, Yuan 2 Zang, Aibin 2 Zhang, Liqun 1 Chang, Cheng 1 Chen, Chao 1 Chen, Jun 1 Chen, Shuxing 1 Chen, Zhimin 1 Cheng, Jianfeng 1 Fan, Jishan 1 Fang, Beixiang 1 Fornæss, John Erik 1 Gao, Chen 1 Goodman, Jonathan B. 1 Huang, Xiaojun 1 Jiu, Qansen 1 Ju, Qiangchang 1 Katsoulakis, Markos A. 1 LeFloch, Philippe Gerard 1 Lei, Zhen 1 Li, Fucai 1 Li, Songying 1 Li, Zilai 1 Liu, Quansen 1 Liu, Xin 1 Markowich, Peter Alexander 1 Matsumura, Akitaka 1 Mei, Yu 1 Natalini, Roberto 1 Poon, Yat Sun 1 Smoller, Joel Alan 1 Su, Yanhui 1 Szepessy, Anders 1 Tang, Chun-Lei 1 Tang, Tao 1 Temple, Blake 1 Teng, Zhenhuan 1 Wang, Lizhen 1 Wang, Xiaoping 1 Wang, Yaguang 1 Wong, Wing Shing 1 Wu, Jiahong 1 Xu, Deliang 1 Xu, Jiang 1 Xu, Lingda 1 Yanagisawa, Taku ...and 7 more Co-Authors all top 5 Serials 20 Archive for Rational Mechanics and Analysis 20 Journal of Differential Equations 19 SIAM Journal on Mathematical Analysis 18 Communications on Pure and Applied Mathematics 12 Communications in Mathematical Physics 10 Advances in Mathematics 7 Journal of Mathematical Fluid Mechanics 6 Communications in Partial Differential Equations 4 Methods and Applications of Analysis 4 Science China. Mathematics 3 Journal of Functional Analysis 3 Pacific Journal of Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Pure and Applied Mathematics 3 AMS/IP Studies in Advanced Mathematics 3 Scientia Sinica. Mathematica 2 Mathematics of Computation 2 Indiana University Mathematics Journal 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Communications in Mathematical Sciences 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Transport Theory and Statistical Physics 1 Acta Mathematica Sinica 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Partial Differential Equations 1 Communications in Analysis and Geometry 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Matemática Contemporânea 1 The Asian Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Analysis and Applications (Singapore) 1 Journal of Hyperbolic Differential Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Communications in Mathematical Research 1 Communications in Mathematics and Statistics 1 ICCM Notices 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications 1 Pure and Applied Functional Analysis all top 5 Fields 198 Partial differential equations (35-XX) 165 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Mechanics of deformable solids (74-XX) 2 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 177 Publications have been cited 7,348 times in 3,561 Documents Cited by ▼ Year ▼ On the weak solutions to a shallow water equation. Zbl 1048.35092 Xin, Zhouping; Zhang, Ping 380 2000 The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078 Jin, Shi; Xin, Zhouping 375 1995 On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154 He, Cheng; Xin, Zhouping 329 2005 Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134 Xin, Zhouping 321 1998 Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations. Zbl 1234.35181 Huang, Xiangdi; Li, Jing; Xin, Zhouping 297 2012 Vacuum states for compressible flow. Zbl 0970.76084 Liu, Tai-Ping; Xin, Zhouping; Yang, Tong 159 1998 On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1117.35063 Xiao, Yuelong; Xin, Zhouping 158 2007 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110 He, Cheng; Xin, Zhouping 155 2005 Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations. Zbl 1173.35099 Li, Hai-Liang; Li, Jing; Xin, Zhouping 142 2008 On the global existence of solutions to the Prandtl’s system. Zbl 1052.35135 Xin, Zhouping; Zhang, Liqun 140 2004 Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1110.35058 Jiang, Song; Xin, Zhouping; Zhang, Ping 134 2005 Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161 Huang, Xiangdi; Li, Jing; Xin, Zhouping 123 2011 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068 Huang, Feimin; Xin, Zhouping; Yang, Tong 120 2008 Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations. Zbl 0682.35087 Liu, Tai-Ping; Xin, Zhouping 111 1988 On blowup of classical solutions to the compressible Navier-Stokes equations. Zbl 1287.35059 Xin, Zhouping; Yan, Wei 105 2013 Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032 Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping 101 2006 Nonlinear stability of viscous shock waves. Zbl 0803.35097 Szepessy, Anders; Xin, Zhouping 100 1993 Global subsonic and subsonic-sonic flows through infinitely long nozzles. Zbl 1156.35076 Xie, Chunjing; Xin, Zhouping 99 2007 On the uniqueness and large time behavior of the weak solutions to a shallow water equation. Zbl 1034.35115 Xin, Zhouping; Zhang, Ping 95 2002 Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1151.35071 Guo, Zhenhua; Jiu, Quansen; Xin, Zhouping 88 2008 Blowup criterion for viscous baratropic flows with vacuum states. Zbl 1213.35135 Huang, Xiangdi; Li, Jing; Xin, Zhouping 87 2011 Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300 Li, Jing; Xin, Zhouping 83 2019 Large time behavior of the solutions to a hydrodynamic model for semiconductors. Zbl 0936.35111 Luo, Tao; Natalini, Roberto; Xin, Zhouping 82 1999 Transonic shock in a nozzle. I: 2D case. Zbl 1076.76043 Xin, Zhouping; Yin, Huicheng 80 2005 Existence of global steady subsonic Euler flows through infinitely long nozzles. Zbl 1218.35170 Xie, Chunjing; Xin, Zhouping 79 2010 Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\). Zbl 1260.35113 Hong, Min-Chun; Xin, Zhouping 79 2012 Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098 Luo, Tao; Xin, Zhouping; Yang, Tong 77 2000 Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. Zbl 1233.35156 Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping 75 2012 Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. Zbl 1334.35216 Jiang, Song; Ju, Qiangchang; Li, Fucai; Xin, Zhouping 73 2014 Viscous limits for piecewise smooth solutions to systems of conservation laws. Zbl 0792.35115 Goodman, Jonathan; Xin, Zhouping 71 1992 Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation. Zbl 1309.35065 Luo, Tao; Xin, Zhouping; Zeng, Huihui 71 2014 Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. Zbl 1193.35143 Xie, Chunjing; Xin, Zhouping 68 2010 Subsonic flows in a multi-dimensional nozzle. Zbl 1452.76200 Du, Lili; Xin, Zhouping; Yan, Wei 67 2011 Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Zbl 1293.35224 Du, Lili; Xie, Chunjing; Xin, Zhouping 63 2014 Zero dissipation limit to rarefaction waves for the one-dimensional Navier-Stokes equations of compressible isentropic gases. Zbl 0804.35108 Xin, Zhouping 62 1993 A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. Zbl 1256.35059 Huang, Xiangdi; Xin, Zhouping 62 2010 Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane. Zbl 0922.35116 Xin, Zhouping; Yanagisawa, Taku 56 1999 Gradient estimation on Navier-Stokes equations. Zbl 0939.35139 Tian, Gang; Xin, Zhouping 55 1999 Global shock waves for the supersonic flow past a perturbed cone. Zbl 1006.76080 Chen, Shuxing; Xin, Zhouping; Yin, Huicheng 53 2002 Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165 Jiu, Quansen; Wang, Yi; Xin, Zhouping 52 2014 The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440 Jiu, Quansen; Xin, Zhouping 52 2008 Pointwise decay to contact discontinuities for systems of viscous conservation laws. Zbl 0928.35095 Liu, Tai-Ping; Xin, Zhouping 48 1997 Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. Zbl 1181.35206 Xiao, Yuelong; Xin, Zhouping; Wu, Jiahong 48 2009 On transonic shocks in a nozzle with variable end pressures. Zbl 1187.35138 Li, Jun; Xin, Zhouping; Yin, Huicheng 48 2009 Transonic shock problem for the Euler system in a nozzle. Zbl 1423.76386 Xin, Zhouping; Yan, Wei; Yin, Huicheng 47 2009 Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle. Zbl 1320.76056 Li, Jun; Xin, Zhouping; Yin, Huicheng 47 2013 The transonic shock in a nozzle, 2-D and 3-D complete Euler systems. Zbl 1165.35031 Xin, Zhouping; Yin, Huicheng 47 2008 Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. Zbl 1283.35084 Jiu, Quansen; Wang, Yi; Xin, Zhouping 46 2013 Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. Zbl 1351.35227 Luo, Tao; Xin, Zhouping; Zeng, Huihui 45 2016 On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. Zbl 1344.35150 Luo, Tao; Xin, Zhouping; Zeng, Huihui 43 2016 Numerical passage from systems of conservation laws to Hamilton–Jacobi equations, and relaxation schemes. Zbl 0921.65063 Jin, Shi; Xin, Zhouping 43 1998 Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055 Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping 42 2011 Blow-up criteria of strong solutions to the Ericksen-Leslie system in \(\mathbb{R}^{3}\). Zbl 1327.35319 Hong, Min-Chun; Li, Jinkai; Xin, Zhouping 41 2014 Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations. Zbl 1203.35184 Xin, Zhouping; Zeng, Huihui 41 2010 Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1228.35138 Jiu, Quansen; Wang, Yi; Xin, Zhouping 41 2011 On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle. Zbl 1286.35209 Wang, Chunpeng; Xin, Zhouping 40 2013 Smooth transonic flows of Meyer type in de laval nozzles. Zbl 1414.35176 Wang, Chunpeng; Xin, Zhouping 39 2019 Asymptotic stability of planar rarefaction waves for viscous conservation laws in several dimensions. Zbl 0718.35062 Xin, Zhouping 38 1990 Convergence of vortex methods for weak solutions to the \(2-D\) Euler equations with vortex sheet data. Zbl 0829.35098 Liu, Jian-Guo; Xin, Zhouping 37 1995 On nonlinear stability of contact discontinuities. Zbl 0918.35117 Xin, Zhouping 36 1996 Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions. Zbl 1454.76067 Xin, Zhouping; Xu, Jiang 35 2021 On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013 Li, Jinkai; Titi, Edriss S.; Xin, Zhouping 34 2016 Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165 Luo, Tao; Xin, Zhouping 34 2012 On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083 He, Cheng; Xin, Zhouping 33 2001 Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. Zbl 1319.35194 Jiu, Quansen; Wang, Yuexun; Xin, Zhouping 32 2015 Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions. Zbl 0980.35027 Wang, Wei-Cheng; Xin, Zhouping 32 1998 Existence of vortex sheets with reflection symmetry in two space dimensions. Zbl 1058.35176 Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Zhouping 31 2001 One-point singular solutions to the Navier-Stokes equations. Zbl 0923.35121 Tian, Gang; Xin, Zhouping 30 1998 Two dimensional subsonic Euler flows past a wall or a symmetric body. Zbl 1338.35342 Chen, Chao; Du, Lili; Xie, Chunjing; Xin, Zhouping 30 2016 Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit. Zbl 1372.76035 Wang, Xiao-Ping; Wang, Ya-Guang; Xin, Zhouping 30 2010 Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations. Zbl 1420.35193 Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping 29 2019 Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\). Zbl 1398.76193 Jiu, Quansen; Wang, Yi; Xin, Zhouping 29 2018 Uniform regularity and vanishing viscosity limit for the compressible Navier-Stokes with general Navier-slip boundary conditions in three-dimensional domains. Zbl 1332.35303 Wang, Yong; Xin, Zhouping; Yong, Yan 28 2015 Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068 Wang, Lizhen; Xin, Zhouping; Zang, Aibin 28 2012 Vacuum behaviors around rarefaction waves to 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1293.35170 Jiu, Quansen; Wang, Yi; Xin, Zhouping 27 2013 Viscous boundary layers and their stability. I. Zbl 0906.35057 Xin, Zhouping 26 1998 On sonic curves of smooth subsonic-sonic and transonic flows. Zbl 1410.76137 Wang, Chunpeng; Xin, Zhouping 25 2016 Asymptotic stability of rarefaction waves for 2\(\times 2\) viscous hyperbolic conservation laws. Zbl 0669.35072 Xin, Zhouping 25 1988 A free boundary value problem for the full Euler system and 2-D transonic shock in a large variable nozzle. Zbl 1194.35517 Li, Jun; Xin, Zhouping; Yin, Huicheng 25 2009 Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070 Wang, Shu; Xin, Zhouping; Markowich, Peter A. 24 2006 Optimal Hölder continuity for a class of degenerate elliptic problems with an application to subsonic-sonic flows. Zbl 1245.76132 Wang, Chunpeng; Xin, Zhouping 24 2011 Asymptotic stability of rarefraction waves for 2\(\times 2\) viscous hyperbolic conservation laws - the two-modes case. Zbl 0705.34056 Xin, Zhouping 23 1989 Nonlinear stability of shock fronts for a relaxation system in several space dimensions. Zbl 0893.35072 Luo, Tao; Xin, Zhouping 23 1997 Subsonic irrotational flows in a finitely long nozzle with variable end pressure. Zbl 1306.76023 Du, Lili; Weng, Shangkun; Xin, Zhouping 22 2014 Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. Zbl 1239.35109 Guo, Zhenhua; Xin, Zhouping 22 2012 Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows. Zbl 1330.35334 Li, Jing; Xin, Zhouping 21 2006 Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms. Zbl 1337.35114 Luo, Tianwen; Xie, Chunjing; Xin, Zhouping 21 2016 Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080 Xin, Zhouping; Yin, Huicheng 19 2006 Global smooth supersonic flows in infinite expanding nozzles. Zbl 1319.76024 Wang, Chunpeng; Xin, Zhouping 19 2015 Convergence of the point vortex method for 2-D vortex sheet. Zbl 0977.76069 Liu, Jian-Guo; Xin, Zhouping 19 2001 Three-dimensional transonic shocks in a nozzle. Zbl 1232.35097 Xin, Zhouping; Yin, Huicheng 19 2008 The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shocks. Zbl 0850.76601 Xin, Zhouping 18 1991 On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions. Zbl 1307.35203 Xiao, Yuelong; Xin, Zhouping 18 2013 Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane. Zbl 0964.35092 Xin, Zhouping; Xu, Wen-Qing 18 2000 On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures. Zbl 1191.35179 Li, Jun; Xin, Zhouping; Yin, Huicheng 18 2010 Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. Zbl 1433.35236 Li, Jinkai; Xin, Zhouping 18 2020 Zero-viscosity limit of the linearized compressible Navier-Stokes equations with highly oscillatory forces in the half-plane. Zbl 1100.35082 Wang, Ya-Guang; Xin, Zhouping 17 2006 Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077 Li, Jinkai; Xin, Zhouping 17 2016 On admissible locations of transonic shock fronts for steady Euler flows in an almost flat finite nozzle with prescribed receiver pressure. Zbl 1479.76062 Fang, Beixiang; Xin, Zhouping 17 2021 Remarks on vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1305.35106 Xiao, Yuelong; Xin, Zhouping 16 2011 Global well-posedness and regularity of weak solutions to the Prandtl’s system. Zbl 1540.35111 Xin, Zhouping; Zhang, Liqun; Zhao, Junning 2 2024 A conservative hybrid deep learning method for Maxwell-Ampère-Nernst-Planck equations. Zbl 07829514 Chang, Cheng; Xin, Zhouping; Zeng, Tieyong 1 2024 Existence of multi-dimensional contact discontinuities for the ideal compressible magnetohydrodynamics. Zbl 07782035 Wang, Yanjin; Xin, Zhouping 1 2024 Smooth transonic flows with nonzero vorticity to a quasi two dimensional steady Euler flow model. Zbl 07855936 Weng, Shangkun; Xin, Zhouping 1 2024 Incompressible impinging jet flow with gravity. Zbl 1514.76011 Cheng, Jianfeng; Du, Lili; Xin, Zhouping 4 2023 On regular solutions for three-dimensional full compressible Navier-Stokes equations with degenerate viscosities and far field vacuum. Zbl 1505.35286 Duan, Qin; Xin, Zhouping; Zhu, Shengguo 3 2023 Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions. Zbl 1525.35193 Li, Jinkai; Xin, Zhouping 2 2023 Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum. Zbl 1510.35211 Li, Jinkai; Xin, Zhouping 8 2022 On the vanishing dissipation limit for the incompressible MHD equations on bounded domains. Zbl 1481.35309 Duan, Qin; Xiao, Yuelong; Xin, Zhouping 7 2022 Subsonic flows past a profile with a vortex line at the trailing edge. Zbl 1496.35292 Chen, Jun; Xin, Zhouping; Zang, Aibin 1 2022 Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions. Zbl 1454.76067 Xin, Zhouping; Xu, Jiang 35 2021 On admissible locations of transonic shock fronts for steady Euler flows in an almost flat finite nozzle with prescribed receiver pressure. Zbl 1479.76062 Fang, Beixiang; Xin, Zhouping 17 2021 Regular subsonic-sonic flows in general nozzles. Zbl 1458.35321 Wang, Chunpeng; Xin, Zhouping 15 2021 Structural stability of the transonic shock problem in a divergent three-dimensional axisymmetric perturbed nozzle. Zbl 1464.35159 Weng, Shangkun; Xie, Chunjing; Xin, Zhouping 14 2021 Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum. Zbl 1475.35248 Xin, Zhouping; Zhu, Shengguo 13 2021 Global well-posedness of free interface problems for the incompressible inviscid resistive MHD. Zbl 1477.35182 Wang, Yanjin; Xin, Zhouping 12 2021 Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum. Zbl 1479.35640 Xin, Zhouping; Zhu, Shengguo 12 2021 Vanishing viscosity and surface tension limits of incompressible viscous surface waves. Zbl 1459.35314 Wang, Yanjin; Xin, Zhouping 11 2021 Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws. Zbl 1490.35227 Xin, Zhouping; Yuan, Qian; Yuan, Yuan 11 2021 Steady compressible radially symmetric flows with nonzero angular velocity in an annulus. Zbl 1462.76124 Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei 9 2021 On some smooth symmetric transonic flows with nonzero angular velocity and vorticity. Zbl 1490.76122 Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei 8 2021 Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. Zbl 1433.35236 Li, Jinkai; Xin, Zhouping 18 2020 Classical solutions to the multi-dimensional compressible Navier-Stokes equations in the presence of vacuum. Zbl 1462.35245 Huang, Xiangdi; Li, Jing; Xin, Zhouping 1 2020 Corrigendum to: “Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\)”. Zbl 1482.76102 Jiu, Quansen; Wang, Yi; Xin, Zhouping 1 2020 Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300 Li, Jing; Xin, Zhouping 83 2019 Smooth transonic flows of Meyer type in de laval nozzles. Zbl 1414.35176 Wang, Chunpeng; Xin, Zhouping 39 2019 Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations. Zbl 1420.35193 Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping 29 2019 Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. Zbl 1445.35249 Xin, Zhouping; Yuan, Qian; Yuan, Yuan 16 2019 A deformation-curl decomposition for three dimensional steady Euler equations. Zbl 1499.35490 Weng, Shangkun; Xin, Zhouping 9 2019 On an elliptic free boundary problem and subsonic jet flows for a given surrounding pressure. Zbl 1411.35290 Wang, Chunpeng; Xin, Zhouping 8 2019 On scaling invariance and type-I singularities for the compressible Navier-Stokes equations. Zbl 1425.35136 Lei, Zhen; Xin, Zhouping 5 2019 Axisymmetric \(3D\) Euler-\(\alpha\) equations without swirl: existence, uniqueness, and Radon measure valued solutions. Zbl 1454.76033 Jiu, Quansen; Niu, Dongjuan; Titi, Edriss S.; Xin, Zhouping 2 2019 Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\). Zbl 1398.76193 Jiu, Quansen; Wang, Yi; Xin, Zhouping 29 2018 Stability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions. Zbl 1393.76094 Ding, Shijin; Li, Quanrong; Xin, Zhouping 12 2018 Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension. Zbl 1383.35169 Mei, Yu; Wang, Yong; Xin, Zhouping 4 2018 On the Courant-Friedrichs’ transonic shock wave in a nozzle. Zbl 1438.35278 Xin, Zhouping 1 2018 Boundary layer problems in the vanishing viscosity-diffusion limits for the incompressible MHD system. Zbl 1499.35515 Wang, Shu; Xin, Zhouping 9 2017 Global entropy solutions to weakly nonlinear gas dynamics. Zbl 1420.35217 Qu, Peng; Xin, Zhouping 1 2017 Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. Zbl 1351.35227 Luo, Tao; Xin, Zhouping; Zeng, Huihui 45 2016 On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. Zbl 1344.35150 Luo, Tao; Xin, Zhouping; Zeng, Huihui 43 2016 On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013 Li, Jinkai; Titi, Edriss S.; Xin, Zhouping 34 2016 Two dimensional subsonic Euler flows past a wall or a symmetric body. Zbl 1338.35342 Chen, Chao; Du, Lili; Xie, Chunjing; Xin, Zhouping 30 2016 On sonic curves of smooth subsonic-sonic and transonic flows. Zbl 1410.76137 Wang, Chunpeng; Xin, Zhouping 25 2016 Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms. Zbl 1337.35114 Luo, Tianwen; Xie, Chunjing; Xin, Zhouping 21 2016 Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077 Li, Jinkai; Xin, Zhouping 17 2016 On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity. Zbl 1339.35213 Huang, Xiangdi; Xin, Zhouping 9 2016 Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. Zbl 1319.35194 Jiu, Quansen; Wang, Yuexun; Xin, Zhouping 32 2015 Uniform regularity and vanishing viscosity limit for the compressible Navier-Stokes with general Navier-slip boundary conditions in three-dimensional domains. Zbl 1332.35303 Wang, Yong; Xin, Zhouping; Yong, Yan 28 2015 Global smooth supersonic flows in infinite expanding nozzles. Zbl 1319.76024 Wang, Chunpeng; Xin, Zhouping 19 2015 Long time existence of entropy solutions to the one-dimensional non-isentropic Euler equations with periodic initial data. Zbl 1316.35236 Qu, Peng; Xin, Zhouping 5 2015 Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. Zbl 1334.35216 Jiang, Song; Ju, Qiangchang; Li, Fucai; Xin, Zhouping 73 2014 Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation. Zbl 1309.35065 Luo, Tao; Xin, Zhouping; Zeng, Huihui 71 2014 Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Zbl 1293.35224 Du, Lili; Xie, Chunjing; Xin, Zhouping 63 2014 Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165 Jiu, Quansen; Wang, Yi; Xin, Zhouping 52 2014 Blow-up criteria of strong solutions to the Ericksen-Leslie system in \(\mathbb{R}^{3}\). Zbl 1327.35319 Hong, Min-Chun; Li, Jinkai; Xin, Zhouping 41 2014 Subsonic irrotational flows in a finitely long nozzle with variable end pressure. Zbl 1306.76023 Du, Lili; Weng, Shangkun; Xin, Zhouping 22 2014 On blowup of classical solutions to the compressible Navier-Stokes equations. Zbl 1287.35059 Xin, Zhouping; Yan, Wei 105 2013 Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle. Zbl 1320.76056 Li, Jun; Xin, Zhouping; Yin, Huicheng 47 2013 Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. Zbl 1283.35084 Jiu, Quansen; Wang, Yi; Xin, Zhouping 46 2013 On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle. Zbl 1286.35209 Wang, Chunpeng; Xin, Zhouping 40 2013 Vacuum behaviors around rarefaction waves to 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1293.35170 Jiu, Quansen; Wang, Yi; Xin, Zhouping 27 2013 On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions. Zbl 1307.35203 Xiao, Yuelong; Xin, Zhouping 18 2013 On 3D Lagrangian Navier-Stokes \(\alpha\) model with a class of vorticity-slip boundary conditions. Zbl 1284.35324 Xiao, Yuelong; Xin, Zhouping 15 2013 Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles. Zbl 1287.35073 Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping 12 2013 Existence of weak solutions for a two-dimensional fluid-rigid body system. Zbl 1273.35228 Wang, Yun; Xin, Zhouping 1 2013 Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations. Zbl 1234.35181 Huang, Xiangdi; Li, Jing; Xin, Zhouping 297 2012 Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\). Zbl 1260.35113 Hong, Min-Chun; Xin, Zhouping 79 2012 Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. Zbl 1233.35156 Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping 75 2012 Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165 Luo, Tao; Xin, Zhouping 34 2012 Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068 Wang, Lizhen; Xin, Zhouping; Zang, Aibin 28 2012 Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. Zbl 1239.35109 Guo, Zhenhua; Xin, Zhouping 22 2012 The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443 Xin, Zhouping; Yang, Tong; Yu, Hongjun 12 2012 A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit. Zbl 1426.76111 Xiao, Yuelong; Xin, Zhouping 7 2012 Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161 Huang, Xiangdi; Li, Jing; Xin, Zhouping 123 2011 Blowup criterion for viscous baratropic flows with vacuum states. Zbl 1213.35135 Huang, Xiangdi; Li, Jing; Xin, Zhouping 87 2011 Subsonic flows in a multi-dimensional nozzle. Zbl 1452.76200 Du, Lili; Xin, Zhouping; Yan, Wei 67 2011 Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055 Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping 42 2011 Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1228.35138 Jiu, Quansen; Wang, Yi; Xin, Zhouping 41 2011 Optimal Hölder continuity for a class of degenerate elliptic problems with an application to subsonic-sonic flows. Zbl 1245.76132 Wang, Chunpeng; Xin, Zhouping 24 2011 Remarks on vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1305.35106 Xiao, Yuelong; Xin, Zhouping 16 2011 Analyticity of the semigroup associated with the fluid-rigid body problem and local existence of strong solutions. Zbl 1238.47039 Wang, Yun; Xin, Zhouping 13 2011 Monotonicity and uniqueness of a 3D transonic shock solution in a conic nozzle with variable end pressure. Zbl 1298.35117 Li, Jun; Xin, Zhouping; Yin, Huicheng 9 2011 Existence of global steady subsonic Euler flows through infinitely long nozzles. Zbl 1218.35170 Xie, Chunjing; Xin, Zhouping 79 2010 Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. Zbl 1193.35143 Xie, Chunjing; Xin, Zhouping 68 2010 A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. Zbl 1256.35059 Huang, Xiangdi; Xin, Zhouping 62 2010 Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations. Zbl 1203.35184 Xin, Zhouping; Zeng, Huihui 41 2010 Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit. Zbl 1372.76035 Wang, Xiao-Ping; Wang, Ya-Guang; Xin, Zhouping 30 2010 On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures. Zbl 1191.35179 Li, Jun; Xin, Zhouping; Yin, Huicheng 18 2010 The existence and monotonicity of a three-dimensional transonic shock in a finite nozzle with axisymmetric exit pressure. Zbl 1206.35172 Li, Jun; Xin, Zhouping; Yin, Huicheng 12 2010 Well-posedness for the density-dependent incompressible Euler equations in the critical Besov spaces. Zbl 1488.35440 Zhou, Yong; Xin, Zhouping; Fan, Jishan 7 2010 Pointwise stability of contact discontinuity for viscous conservation laws with general perturbations. Zbl 1204.35050 Xin, Zhouping; Zeng, Huihui 4 2010 Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. Zbl 1181.35206 Xiao, Yuelong; Xin, Zhouping; Wu, Jiahong 48 2009 On transonic shocks in a nozzle with variable end pressures. Zbl 1187.35138 Li, Jun; Xin, Zhouping; Yin, Huicheng 48 2009 Transonic shock problem for the Euler system in a nozzle. Zbl 1423.76386 Xin, Zhouping; Yan, Wei; Yin, Huicheng 47 2009 A free boundary value problem for the full Euler system and 2-D transonic shock in a large variable nozzle. Zbl 1194.35517 Li, Jun; Xin, Zhouping; Yin, Huicheng 25 2009 Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity. Zbl 1191.35176 Tang, Chunlei; Xin, Zhouping 11 2009 Smooth approximations and exact solutions of the 3D steady axisymmetric Euler equations. Zbl 1173.35639 Jiu, Quansen; Xin, Zhouping 7 2009 On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363 He, Cheng; Xin, Zhouping 3 2009 Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations. Zbl 1173.35099 Li, Hai-Liang; Li, Jing; Xin, Zhouping 142 2008 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068 Huang, Feimin; Xin, Zhouping; Yang, Tong 120 2008 ...and 77 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,471 Authors 104 Xin, Zhouping 84 Yin, Zhaoyang 65 Zhu, Changjiang 47 Yang, Tong 43 Zhou, Yong 38 Fan, Jishan 38 Huang, Feimin 36 Wang, Shu 35 Zhong, Xin 34 Guo, Zhengguang 32 Li, Yeping 31 Du, Lili 31 Jiu, Quansen 31 Tan, Zhong 31 Yao, Zhengan 30 Li, Yongsheng 30 Mei, Ming 30 Zhai, Xiaoping 29 Guo, Zhenhua 28 Zhang, Zhifei 27 Wang, Yi 26 Ding, Shijin 26 Li, Fucai 25 Gala, Sadek 25 Ou, Yaobin 25 Zhang, Ting 25 Zhao, Huijiang 25 Zhu, Shengguo 24 Chen, Gui-Qiang G. 24 Zhang, Zujin 23 Huang, Xiangdi 23 Wang, Yongfu 22 Li, Hailiang 22 Luo, Tao 22 Yan, Wei 22 Yao, Lei 22 Yin, Huicheng 22 Yuan, Hairong 21 Guo, Boling 21 Li, Yachun 21 Wen, Huanyao 21 Xie, Feng 21 Zhang, Jianwen 20 Lai, Shaoyong 20 Li, Jinkai 20 Xie, Chunjing 19 Herty, Michael Matthias 19 Jin, Shi 19 Li, Jing 19 Xiang, Wei 18 Ju, Qiangchang 18 Lian, Ruxu 18 Liu, Jianguo 18 Tang, Tong 18 Wang, Yanqing 18 Wang, Yun 17 Cheng, Jianfeng 17 Duan, Ben 17 Klar, Axel 17 Li, Zilai 17 Qiao, Zhijun (George) 17 Wang, Weike 17 Wang, Wendong 17 Weng, Shangkun 17 Zhang, Kaijun 16 Dong, Jianwei 16 Duan, Renjun 16 Liu, Cheng-Jie 16 Shi, Xiaoding 16 Wang, Yong 16 Zhao, Junning 15 Banda, Mapundi Kondwani 15 Hu, Yanbo 15 Lopes Filho, Milton da Costa 15 Nussenzveig Lopes, Helena Judith 15 Wang, Jing 15 Wang, Teng 15 Zeng, Huihui 15 Zumbrun, Kevin R. 14 Chen, Zhengzheng 14 Liu, Hailiang 14 Masmoudi, Nader 14 Qin, Yuming 14 Tian, Lixin 14 Yuan, Baoquan 14 Zhang, Lan 13 Berthon, Christophe 13 Bian, Dongfen 13 Fang, Daoyuan 13 Feireisl, Eduard 13 Guan, Chunxia 13 Hu, Qiaoyi 13 Jiang, Song 13 Li, Jinlu 13 Natalini, Roberto 13 Pan, Ronghua 13 Pan, Xinghong 13 Peng, Hongyun 13 Ragusa, Maria Alessandra 13 Wang, Chao ...and 2,371 more Authors all top 5 Cited in 278 Serials 427 Journal of Differential Equations 202 Journal of Mathematical Analysis and Applications 142 Mathematical Methods in the Applied Sciences 133 Journal of Mathematical Physics 128 Archive for Rational Mechanics and Analysis 125 SIAM Journal on Mathematical Analysis 124 Nonlinear Analysis. Real World Applications 108 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 98 ZAMP. Zeitschrift für angewandte Mathematik und Physik 97 Journal of Mathematical Fluid Mechanics 79 Discrete and Continuous Dynamical Systems 69 Journal of Computational Physics 55 Communications in Mathematical Physics 54 Science China. Mathematics 53 Acta Mathematica Scientia. Series B. (English Edition) 52 Applicable Analysis 47 Applied Mathematics Letters 47 Communications on Pure and Applied Analysis 47 Boundary Value Problems 46 Acta Applicandae Mathematicae 44 Nonlinearity 41 Discrete and Continuous Dynamical Systems. Series B 40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Acta Mathematicae Applicatae Sinica. English Series 34 Journal of Functional Analysis 32 Annales de l’Institut Henri Poincaré. 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Second Series 11 Mathematische Nachrichten 11 Proceedings of the American Mathematical Society 11 Transactions of the American Mathematical Society 11 Analysis and Applications (Singapore) 11 Electronic Research Archive 10 Applied Numerical Mathematics 10 Journal of Inequalities and Applications 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Communications in Computational Physics 10 Discrete and Continuous Dynamical Systems. Series S 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 SIAM Journal on Scientific Computing 9 Mathematical Physics, Analysis and Geometry 9 Advances in Nonlinear Analysis 8 Journal of the London Mathematical Society. Second Series 8 Numerische Mathematik 8 Studies in Applied Mathematics 8 Communications in Contemporary Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Asymptotic Analysis 7 Journal of Mathematical Sciences (New York) 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Bulletin of the Brazilian Mathematical Society. New Series 6 SIAM Journal on Numerical Analysis 6 Numerical Methods for Partial Differential Equations 6 Science in China. Series A 6 The Journal of Geometric Analysis 6 Journal of Nonlinear Mathematical Physics 6 Multiscale Modeling & Simulation 6 Advances in Mathematical Physics 6 Journal of Function Spaces 6 Communications in Mathematical Analysis and Applications 5 Journal of Fluid Mechanics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Inventiones Mathematicae 5 Mathematical and Computer Modelling 5 Applications of Mathematics 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 Communications in Nonlinear Science and Numerical Simulation 5 Nonlinear Analysis. Theory, Methods & Applications 5 Annals of PDE 5 Open Mathematics 4 Journal of Statistical Physics 4 Physics Letters. A 4 Annales de l’Institut Fourier 4 Czechoslovak Mathematical Journal 4 Revista Matemática Iberoamericana 4 Journal of the American Mathematical Society 4 Japan Journal of Industrial and Applied Mathematics ...and 178 more Serials all top 5 Cited in 38 Fields 3,285 Partial differential equations (35-XX) 2,577 Fluid mechanics (76-XX) 277 Numerical analysis (65-XX) 167 Statistical mechanics, structure of matter (82-XX) 86 Classical thermodynamics, heat transfer (80-XX) 76 Dynamical systems and ergodic theory (37-XX) 61 Mechanics of deformable solids (74-XX) 56 Biology and other natural sciences (92-XX) 49 Optics, electromagnetic theory (78-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 44 Astronomy and astrophysics (85-XX) 37 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 25 Ordinary differential equations (34-XX) 24 Geophysics (86-XX) 24 Systems theory; control (93-XX) 19 Functional analysis (46-XX) 19 Mechanics of particles and systems (70-XX) 19 Operations research, mathematical programming (90-XX) 17 Quantum theory (81-XX) 14 Real functions (26-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Operator theory (47-XX) 11 Relativity and gravitational theory (83-XX) 10 Functions of a complex variable (30-XX) 10 Computer science (68-XX) 7 Measure and integration (28-XX) 7 Approximations and expansions (41-XX) 6 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Differential geometry (53-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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