Edit Profile (opens in new tab) Xin, Zhouping Compute Distance To: Compute 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: 188 Publications since 1987 5 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 93 Co-Authors with 171 Joint Publications 3,474 Co-Co-Authors all top 5 Co-Authors 23 single-authored 16 Jiu, Quansen 13 Yin, Huicheng 10 Xie, Chunjing 9 Li, Jing 9 Luo, Tao 8 Liu, Jianguo 7 Wang, Chunpeng 7 Wang, Yi 7 Xiao, Yuelong 6 Huang, Xiangdi 6 Li, Jun 5 He, Cheng 5 Liu, Tai-Ping 5 Weng, Shangkun 5 Yang, Tong 5 Zeng, Huihui 4 Du, Lili 4 Guo, Zhenhua 4 Jin, Shi 4 Li, Hailiang 4 Li, Jinkai 3 Huang, Feimin 3 Rauch, Jeffrey B. 3 Xu, Wenqing 3 Yan, Wei 3 Zhang, Ping 2 Hong, Minchun 2 Hsiao, Ling 2 Jiang, Song 2 Kan, Pui Tak 2 Lau, Kasing 2 Lopes Filho, Milton da Costa 2 Niu, Dongjuan 2 Nussenzveig Lopes, Helena Judith 2 Qu, Peng 2 Santos, Marcelo M. 2 Tian, Gang 2 Titi, Edriss Saleh 2 Wang, Shu 2 Wang, Wei-Cheng 2 Wang, Ya-Guang 2 Wang, Yanjin 2 Wang, Yuexun 2 Wang, Yun 2 Yau, Shing-Tung 2 Yuan, Hongwei 2 Yuan, Qian 2 Zang, Aibin 2 Zhu, Shengguo 1 Chen, Chao 1 Chen, Jun 1 Chen, Shuxing 1 Chen, Zhimin 1 Ding, Shijin 1 Duan, Qin 1 Fan, Jishan 1 Fang, Beixiang 1 Fornæss, John Erik 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, Quanrong 1 Li, Songying 1 Li, Zilai 1 Liu, Quansen 1 Luo, Tianwen 1 Markowich, Peter Alexander 1 Matsumura, Akitaka 1 Mei, Yu 1 Natalini, Roberto 1 Poon, Yat Sun 1 Smoller, Joel Alan 1 Szepessy, Anders 1 Tang, Chunlei 1 Tang, Tao 1 Temple, J. Blake 1 Teng, Zhen-Huan 1 Wang, Lizhen 1 Wang, Yaguang 1 Wong, Wing Shing 1 Wu, Jiahong 1 Xu, Jiang 1 Yanagisawa, Taku 1 Yong, Yan 1 Yu, Hongjun 1 Yuan, Hongjun 1 Zhang, Liqun 1 Zhou, Yong all top 5 Serials 20 Journal of Differential Equations 18 Archive for Rational Mechanics and Analysis 17 SIAM Journal on Mathematical Analysis 16 Communications on Pure and Applied Mathematics 12 Communications in Mathematical Physics 10 Advances in Mathematics 6 Communications in Partial Differential Equations 6 Journal of Mathematical Fluid Mechanics 4 Methods and Applications of Analysis 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 Science China. 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 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 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 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 177 Partial differential equations (35-XX) 148 Fluid mechanics (76-XX) 7 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 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 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 5,265 times in 2,684 Documents Cited by ▼ Year ▼ On the weak solutions to a shallow water equation. Zbl 1048.35092Xin, Zhouping; Zhang, Ping 316 2000 The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078Jin, Shi; Xin, Zhouping 306 1995 On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154He, Cheng; Xin, Zhouping 257 2005 Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134Xin, Zhouping 236 1998 Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations. Zbl 1234.35181Huang, Xiangdi; Li, Jing; Xin, Zhouping 190 2012 Vacuum states for compressible flow. Zbl 0970.76084Liu, Tai-Ping; Xin, Zhouping; Yang, Tong 125 1998 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110He, Cheng; Xin, Zhouping 120 2005 Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations. Zbl 1173.35099Li, Hai-Liang; Li, Jing; Xin, Zhouping 112 2008 On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1117.35063Xiao, Yuelong; Xin, Zhouping 109 2007 Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1110.35058Jiang, Song; Xin, Zhouping; Zhang, Ping 106 2005 Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161Huang, Xiangdi; Li, Jing; Xin, Zhouping 91 2011 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068Huang, Feimin; Xin, Zhouping; Yang, Tong 90 2008 On the global existence of solutions to the Prandtl’s system. Zbl 1052.35135Xin, Zhouping; Zhang, Liqun 88 2004 Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations. Zbl 0682.35087Liu, Tai-Ping; Xin, Zhouping 86 1988 Nonlinear stability of viscous shock waves. Zbl 0803.35097Szepessy, Anders; Xin, Zhouping 82 1993 On the uniqueness and large time behavior of the weak solutions to a shallow water equation. Zbl 1034.35115Xin, Zhouping; Zhang, Ping 76 2002 Global subsonic and subsonic-sonic flows through infinitely long nozzles. Zbl 1156.35076Xie, Chunjing; Xin, Zhouping 72 2007 Blowup criterion for viscous baratropic flows with vacuum states. Zbl 1213.35135Huang, Xiangdi; Li, Jing; Xin, Zhouping 70 2011 Large time behavior of the solutions to a hydrodynamic model for semiconductors. Zbl 0936.35111Luo, Tao; Natalini, Roberto; Xin, Zhouping 69 1999 Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1151.35071Guo, Zhenhua; Jiu, Quansen; Xin, Zhouping 68 2008 Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping 66 2006 Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098Luo, Tao; Xin, Zhouping; Yang, Tong 65 2000 Existence of global steady subsonic Euler flows through infinitely long nozzles. Zbl 1218.35170Xie, Chunjing; Xin, Zhouping 63 2010 Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\). Zbl 1260.35113Hong, Min-Chun; Xin, Zhouping 63 2012 On blowup of classical solutions to the compressible Navier-Stokes equations. Zbl 1287.35059Xin, Zhouping; Yan, Wei 63 2013 Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. Zbl 1233.35156Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping 62 2012 Transonic shock in a nozzle. I: 2D case. Zbl 1076.76043Xin, Zhouping; Yin, Huicheng 58 2005 Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. Zbl 1334.35216Jiang, Song; Ju, Qiangchang; Li, Fucai; Xin, Zhouping 54 2014 Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. Zbl 1193.35143Xie, Chunjing; Xin, Zhouping 53 2010 Subsonic flows in a multi-dimensional nozzle. Zbl 1452.76200Du, Lili; Xin, Zhouping; Yan, Wei 53 2011 Viscous limits for piecewise smooth solutions to systems of conservation laws. Zbl 0792.35115Goodman, Jonathan; Xin, Zhouping 52 1992 Zero dissipation limit to rarefaction waves for the one-dimensional Navier-Stokes equations of compressible isentropic gases. Zbl 0804.35108Xin, Zhouping 49 1993 Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Zbl 1293.35224Du, Lili; Xie, Chunjing; Xin, Zhouping 46 2014 Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation. Zbl 1309.35065Luo, Tao; Xin, Zhouping; Zeng, Huihui 46 2014 A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. Zbl 1256.35059Huang, Xiangdi; Xin, Zhouping 45 2010 Numerical passage from systems of conservation laws to Hamilton–Jacobi equations, and relaxation schemes. Zbl 0921.65063Jin, Shi; Xin, Zhouping 44 1998 Gradient estimation on Navier-Stokes equations. Zbl 0939.35139Tian, Gang; Xin, Zhouping 44 1999 Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane. Zbl 0922.35116Xin, Zhouping; Yanagisawa, Taku 42 1999 The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440Jiu, Quansen; Xin, Zhouping 42 2008 Pointwise decay to contact discontinuities for systems of viscous conservation laws. Zbl 0928.35095Liu, Tai-Ping; Xin, Zhouping 37 1997 Global shock waves for the supersonic flow past a perturbed cone. Zbl 1006.76080Chen, Shuxing; Xin, Zhouping; Yin, Huicheng 36 2002 Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165Jiu, Quansen; Wang, Yi; Xin, Zhouping 36 2014 Blow-up criteria of strong solutions to the Ericksen-Leslie system in \(\mathbb{R}^{3}\). Zbl 1327.35319Hong, Min-Chun; Li, Jinkai; Xin, Zhouping 34 2014 Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1228.35138Jiu, Quansen; Wang, Yi; Xin, Zhouping 34 2011 Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. Zbl 1283.35084Jiu, Quansen; Wang, Yi; Xin, Zhouping 34 2013 The transonic shock in a nozzle, 2-D and 3-D complete Euler systems. Zbl 1165.35031Xin, Zhouping; Yin, Huicheng 34 2008 Transonic shock problem for the Euler system in a nozzle. Zbl 1423.76386Xin, Zhouping; Yan, Wei; Yin, Huicheng 34 2009 Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300Li, Jing; Xin, Zhouping 33 2019 Convergence of vortex methods for weak solutions to the \(2-D\) Euler equations with vortex sheet data. Zbl 0829.35098Liu, Jian-Guo; Xin, Zhouping 31 1995 Asymptotic stability of planar rarefaction waves for viscous conservation laws in several dimensions. Zbl 0718.35062Xin, Zhouping 30 1990 On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle. Zbl 1286.35209Wang, Chunpeng; Xin, Zhouping 30 2013 Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle. Zbl 1320.76056Li, Jun; Xin, Zhouping; Yin, Huicheng 30 2013 Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. Zbl 1351.35227Luo, Tao; Xin, Zhouping; Zeng, Huihui 29 2016 Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations. Zbl 1203.35184Xin, Zhouping; Zeng, Huihui 29 2010 On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. Zbl 1344.35150Luo, Tao; Xin, Zhouping; Zeng, Huihui 29 2016 On transonic shocks in a nozzle with variable end pressures. Zbl 1187.35138Li, Jun; Xin, Zhouping; Yin, Huicheng 29 2009 Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions. Zbl 0980.35027Wang, Wei-Cheng; Xin, Zhouping 28 1998 On the decay properties of solutions to the non-stationary Navier-Stokes equations in \(\mathbb{R}^3\). Zbl 0982.35083He, Cheng; Xin, Zhouping 26 2001 Existence of vortex sheets with reflection symmetry in two space dimensions. Zbl 1058.35176Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Zhouping 26 2001 Asymptotic stability of rarefaction waves for 2\(\times 2\) viscous hyperbolic conservation laws. Zbl 0669.35072Xin, Zhouping 25 1988 Viscous boundary layers and their stability. I. Zbl 0906.35057Xin, Zhouping 23 1998 One-point singular solutions to the Navier-Stokes equations. Zbl 0923.35121Tian, Gang; Xin, Zhouping 23 1998 On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013Li, Jinkai; Titi, Edriss S.; Xin, Zhouping 23 2016 Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. Zbl 1181.35206Xiao, Yuelong; Xin, Zhouping; Wu, Jiahong 23 2009 On nonlinear stability of contact discontinuities. Zbl 0918.35117Xin, Zhouping 22 1996 Asymptotic stability of rarefraction waves for 2\(\times 2\) viscous hyperbolic conservation laws - the two-modes case. Zbl 0705.34056Xin, Zhouping 22 1989 Nonlinear stability of shock fronts for a relaxation system in several space dimensions. Zbl 0893.35072Luo, Tao; Xin, Zhouping 21 1997 Optimal Hölder continuity for a class of degenerate elliptic problems with an application to subsonic-sonic flows. Zbl 1245.76132Wang, Chunpeng; Xin, Zhouping 20 2011 Smooth transonic flows of Meyer type in de laval nozzles. Zbl 1414.35176Wang, Chunpeng; Xin, Zhouping 20 2019 Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping 20 2011 Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068Wang, Lizhen; Xin, Zhouping; Zang, Aibin 20 2012 Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070Wang, Shu; Xin, Zhouping; Markowich, Peter A. 19 2006 Subsonic irrotational flows in a finitely long nozzle with variable end pressure. Zbl 1306.76023Du, Lili; Weng, Shangkun; Xin, Zhouping 18 2014 The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shocks. Zbl 0850.76601Xin, Zhouping 17 1991 Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit. Zbl 1372.76035Wang, Xiao-Ping; Wang, Ya-Guang; Xin, Zhouping 17 2010 Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165Luo, Tao; Xin, Zhouping 17 2012 Vacuum behaviors around rarefaction waves to 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1293.35170Jiu, Quansen; Wang, Yi; Xin, Zhouping 17 2013 On sonic curves of smooth subsonic-sonic and transonic flows. Zbl 1410.76137Wang, Chunpeng; Xin, Zhouping 17 2016 Uniqueness via the adjoint problems for systems of conservation laws. Zbl 0797.35116Le Floch, Philippe; Xin, Zhouping 16 1993 Convergence of the point vortex method for 2-D vortex sheet. Zbl 0977.76069Liu, Jian-Guo; Xin, Zhouping 15 2001 Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081Chen, Zhi Min; Xin, Zhouping 15 2001 Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows. Zbl 1330.35334Li, Jing; Xin, Zhouping 15 2006 Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080Xin, Zhouping; Yin, Huicheng 15 2006 Zero-viscosity limit of the linearized compressible Navier-Stokes equations with highly oscillatory forces in the half-plane. Zbl 1100.35082Wang, Ya-Guang; Xin, Zhouping 15 2006 A free boundary value problem for the full Euler system and 2-D transonic shock in a large variable nozzle. Zbl 1194.35517Li, Jun; Xin, Zhouping; Yin, Huicheng 15 2009 Stiff well-posedness and asymptotic convergence for a class of linear relaxation systems in a quarter plane. Zbl 0964.35092Xin, Zhouping; Xu, Wen-Qing 14 2000 Nonlinear stability of discrete shocks for systems of conservation laws. Zbl 0807.35087Liu, Jian-Guo; Xin, Zhouping 14 1993 Global smooth supersonic flows in infinite expanding nozzles. Zbl 1319.76024Wang, Chunpeng; Xin, Zhouping 14 2015 Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms. Zbl 1337.35114Luo, Tianwen; Xie, Chunjing; Xin, Zhouping 14 2016 Two dimensional subsonic Euler flows past a wall or a symmetric body. Zbl 1338.35342Chen, Chao; Du, Lili; Xie, Chunjing; Xin, Zhouping 14 2016 Remarks on vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1305.35106Xiao, Yuelong; Xin, Zhouping 13 2011 Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. Zbl 1319.35194Jiu, Quansen; Wang, Yuexun; Xin, Zhouping 13 2015 Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation. Zbl 0858.76073Liu, Jian-Guo; Xin, Zhouping 13 1996 Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054Xin, Zhouping; Yuan, Hongjun 13 2006 Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077Li, Jinkai; Xin, Zhouping 12 2016 On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions. Zbl 1307.35203Xiao, Yuelong; Xin, Zhouping 12 2013 Three-dimensional transonic shocks in a nozzle. Zbl 1232.35097Xin, Zhouping; Yin, Huicheng 11 2008 Some regularity criteria on suitable weak solutions of the 3-D incompressible axisymmetric Navier-Stokes equations. Zbl 1054.35053Jiu, Quansen; Xin, Zhouping 11 2003 Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. Zbl 1239.35109Guo, Zhenhua; Xin, Zhouping 11 2012 The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443Xin, Zhouping; Yang, Tong; Yu, Hongjun 11 2012 Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions. Zbl 1454.76067Xin, Zhouping; Xu, Jiang 7 2021 Regular subsonic-sonic flows in general nozzles. Zbl 1458.35321Wang, Chunpeng; Xin, Zhouping 6 2021 Vanishing viscosity and surface tension limits of incompressible viscous surface waves. Zbl 1459.35314Wang, Yanjin; Xin, Zhouping 3 2021 Steady compressible radially symmetric flows with nonzero angular velocity in an annulus. Zbl 1462.76124Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei 2 2021 On admissible locations of transonic shock fronts for steady Euler flows in an almost flat finite nozzle with prescribed receiver pressure. Zbl 1479.76062Fang, Beixiang; Xin, Zhouping 2 2021 Structural stability of the transonic shock problem in a divergent three-dimensional axisymmetric perturbed nozzle. Zbl 1464.35159Weng, Shangkun; Xie, Chunjing; Xin, Zhouping 1 2021 Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum. Zbl 1475.35248Xin, Zhouping; Zhu, Shengguo 1 2021 Global well-posedness of free interface problems for the incompressible inviscid resistive MHD. Zbl 1477.35182Wang, Yanjin; Xin, Zhouping 1 2021 On some smooth symmetric transonic flows with nonzero angular velocity and vorticity. Zbl 07466874Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei 1 2021 Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws. Zbl 07468280Xin, Zhouping; Yuan, Qian; Yuan, Yuan 1 2021 Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. Zbl 1433.35236Li, Jinkai; Xin, Zhouping 6 2020 Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum. Zbl 1428.35300Li, Jing; Xin, Zhouping 33 2019 Smooth transonic flows of Meyer type in de laval nozzles. Zbl 1414.35176Wang, Chunpeng; Xin, Zhouping 20 2019 Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations. Zbl 1420.35193Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping 9 2019 Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. Zbl 1445.35249Xin, Zhouping; Yuan, Qian; Yuan, Yuan 3 2019 On scaling invariance and type-I singularities for the compressible Navier-Stokes equations. Zbl 1425.35136Lei, Zhen; Xin, Zhouping 2 2019 On an elliptic free boundary problem and subsonic jet flows for a given surrounding pressure. Zbl 1411.35290Wang, Chunpeng; Xin, Zhouping 2 2019 Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\). Zbl 1398.76193Jiu, Quansen; Wang, Yi; Xin, Zhouping 9 2018 Stability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions. Zbl 1393.76094Ding, Shijin; Li, Quanrong; Xin, Zhouping 4 2018 Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. Zbl 1351.35227Luo, Tao; Xin, Zhouping; Zeng, Huihui 29 2016 On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. Zbl 1344.35150Luo, Tao; Xin, Zhouping; Zeng, Huihui 29 2016 On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013Li, Jinkai; Titi, Edriss S.; Xin, Zhouping 23 2016 On sonic curves of smooth subsonic-sonic and transonic flows. Zbl 1410.76137Wang, Chunpeng; Xin, Zhouping 17 2016 Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms. Zbl 1337.35114Luo, Tianwen; Xie, Chunjing; Xin, Zhouping 14 2016 Two dimensional subsonic Euler flows past a wall or a symmetric body. Zbl 1338.35342Chen, Chao; Du, Lili; Xie, Chunjing; Xin, Zhouping 14 2016 Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077Li, Jinkai; Xin, Zhouping 12 2016 On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity. Zbl 1339.35213Huang, Xiangdi; Xin, Zhouping 7 2016 Global smooth supersonic flows in infinite expanding nozzles. Zbl 1319.76024Wang, Chunpeng; Xin, Zhouping 14 2015 Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. Zbl 1319.35194Jiu, Quansen; Wang, Yuexun; Xin, Zhouping 13 2015 Uniform regularity and vanishing viscosity limit for the compressible Navier-Stokes with general Navier-slip boundary conditions in three-dimensional domains. Zbl 1332.35303Wang, Yong; Xin, Zhouping; Yong, Yan 10 2015 Long time existence of entropy solutions to the one-dimensional non-isentropic Euler equations with periodic initial data. Zbl 1316.35236Qu, Peng; Xin, Zhouping 3 2015 Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data. Zbl 1334.35216Jiang, Song; Ju, Qiangchang; Li, Fucai; Xin, Zhouping 54 2014 Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Zbl 1293.35224Du, Lili; Xie, Chunjing; Xin, Zhouping 46 2014 Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation. Zbl 1309.35065Luo, Tao; Xin, Zhouping; Zeng, Huihui 46 2014 Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165Jiu, Quansen; Wang, Yi; Xin, Zhouping 36 2014 Blow-up criteria of strong solutions to the Ericksen-Leslie system in \(\mathbb{R}^{3}\). Zbl 1327.35319Hong, Min-Chun; Li, Jinkai; Xin, Zhouping 34 2014 Subsonic irrotational flows in a finitely long nozzle with variable end pressure. Zbl 1306.76023Du, Lili; Weng, Shangkun; Xin, Zhouping 18 2014 On blowup of classical solutions to the compressible Navier-Stokes equations. Zbl 1287.35059Xin, Zhouping; Yan, Wei 63 2013 Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. Zbl 1283.35084Jiu, Quansen; Wang, Yi; Xin, Zhouping 34 2013 On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle. Zbl 1286.35209Wang, Chunpeng; Xin, Zhouping 30 2013 Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle. Zbl 1320.76056Li, Jun; Xin, Zhouping; Yin, Huicheng 30 2013 Vacuum behaviors around rarefaction waves to 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1293.35170Jiu, Quansen; Wang, Yi; Xin, Zhouping 17 2013 On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions. Zbl 1307.35203Xiao, Yuelong; Xin, Zhouping 12 2013 On 3D Lagrangian Navier-Stokes \(\alpha\) model with a class of vorticity-slip boundary conditions. Zbl 1284.35324Xiao, Yuelong; Xin, Zhouping 8 2013 Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles. Zbl 1287.35073Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping 3 2013 Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations. Zbl 1234.35181Huang, Xiangdi; Li, Jing; Xin, Zhouping 190 2012 Global existence of solutions of the liquid crystal flow for the Oseen-Frank model in \(\mathbb R^2\). Zbl 1260.35113Hong, Min-Chun; Xin, Zhouping 63 2012 Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. Zbl 1233.35156Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping 62 2012 Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068Wang, Lizhen; Xin, Zhouping; Zang, Aibin 20 2012 Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165Luo, Tao; Xin, Zhouping 17 2012 Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. Zbl 1239.35109Guo, Zhenhua; Xin, Zhouping 11 2012 The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443Xin, Zhouping; Yang, Tong; Yu, Hongjun 11 2012 A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit. Zbl 1426.76111Xiao, Yuelong; Xin, Zhouping 7 2012 Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161Huang, Xiangdi; Li, Jing; Xin, Zhouping 91 2011 Blowup criterion for viscous baratropic flows with vacuum states. Zbl 1213.35135Huang, Xiangdi; Li, Jing; Xin, Zhouping 70 2011 Subsonic flows in a multi-dimensional nozzle. Zbl 1452.76200Du, Lili; Xin, Zhouping; Yan, Wei 53 2011 Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1228.35138Jiu, Quansen; Wang, Yi; Xin, Zhouping 34 2011 Optimal Hölder continuity for a class of degenerate elliptic problems with an application to subsonic-sonic flows. Zbl 1245.76132Wang, Chunpeng; Xin, Zhouping 20 2011 Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping 20 2011 Remarks on vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1305.35106Xiao, Yuelong; Xin, Zhouping 13 2011 Analyticity of the semigroup associated with the fluid-rigid body problem and local existence of strong solutions. Zbl 1238.47039Wang, Yun; Xin, Zhouping 7 2011 Monotonicity and uniqueness of a 3D transonic shock solution in a conic nozzle with variable end pressure. Zbl 1298.35117Li, Jun; Xin, Zhouping; Yin, Huicheng 2 2011 Existence of global steady subsonic Euler flows through infinitely long nozzles. Zbl 1218.35170Xie, Chunjing; Xin, Zhouping 63 2010 Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. Zbl 1193.35143Xie, Chunjing; Xin, Zhouping 53 2010 A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. Zbl 1256.35059Huang, Xiangdi; Xin, Zhouping 45 2010 Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations. Zbl 1203.35184Xin, Zhouping; Zeng, Huihui 29 2010 Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit. Zbl 1372.76035Wang, Xiao-Ping; Wang, Ya-Guang; Xin, Zhouping 17 2010 On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures. Zbl 1191.35179Li, Jun; Xin, Zhouping; Yin, Huicheng 10 2010 The existence and monotonicity of a three-dimensional transonic shock in a finite nozzle with axisymmetric exit pressure. Zbl 1206.35172Li, Jun; Xin, Zhouping; Yin, Huicheng 7 2010 Pointwise stability of contact discontinuity for viscous conservation laws with general perturbations. Zbl 1204.35050Xin, Zhouping; Zeng, Huihui 3 2010 Well-posedness for the density-dependent incompressible Euler equations in the critical Besov spaces. Zbl 07448880Zhou, Yong; Xin, Zhouping; Fan, Jishan 1 2010 Transonic shock problem for the Euler system in a nozzle. Zbl 1423.76386Xin, Zhouping; Yan, Wei; Yin, Huicheng 34 2009 On transonic shocks in a nozzle with variable end pressures. Zbl 1187.35138Li, Jun; Xin, Zhouping; Yin, Huicheng 29 2009 Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. Zbl 1181.35206Xiao, Yuelong; Xin, Zhouping; Wu, Jiahong 23 2009 A free boundary value problem for the full Euler system and 2-D transonic shock in a large variable nozzle. Zbl 1194.35517Li, Jun; Xin, Zhouping; Yin, Huicheng 15 2009 Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity. Zbl 1191.35176Tang, Chunlei; Xin, Zhouping 9 2009 Smooth approximations and exact solutions of the 3D steady axisymmetric Euler equations. Zbl 1173.35639Jiu, Quansen; Xin, Zhouping 4 2009 On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363He, Cheng; Xin, Zhouping 3 2009 Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations. Zbl 1173.35099Li, Hai-Liang; Li, Jing; Xin, Zhouping 112 2008 Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068Huang, Feimin; Xin, Zhouping; Yang, Tong 90 2008 Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1151.35071Guo, Zhenhua; Jiu, Quansen; Xin, Zhouping 68 2008 The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440Jiu, Quansen; Xin, Zhouping 42 2008 The transonic shock in a nozzle, 2-D and 3-D complete Euler systems. Zbl 1165.35031Xin, Zhouping; Yin, Huicheng 34 2008 Three-dimensional transonic shocks in a nozzle. Zbl 1232.35097Xin, Zhouping; Yin, Huicheng 11 2008 Vacuum problem of one-dimensional compressible Navier-Stokes equations. Zbl 1369.76012Li, Hai-Liang; Li, Jing; Xin, Zhouping 2 2008 On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1117.35063Xiao, Yuelong; Xin, Zhouping 109 2007 Global subsonic and subsonic-sonic flows through infinitely long nozzles. Zbl 1156.35076Xie, Chunjing; Xin, Zhouping 72 2007 On strong convergence to 3D steady vortex sheets. Zbl 1146.35068Jiu, Quansen; Xin, Zhouping 4 2007 Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping 66 2006 Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070Wang, Shu; Xin, Zhouping; Markowich, Peter A. 19 2006 Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows. Zbl 1330.35334Li, Jing; Xin, Zhouping 15 2006 Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080Xin, Zhouping; Yin, Huicheng 15 2006 Zero-viscosity limit of the linearized compressible Navier-Stokes equations with highly oscillatory forces in the half-plane. Zbl 1100.35082Wang, Ya-Guang; Xin, Zhouping 15 2006 Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054Xin, Zhouping; Yuan, Hongjun 13 2006 On strong convergence to 3D axisymmetric vortex sheets. Zbl 1092.35087Jiu, Quansen; Xin, Zhouping 9 2006 Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data. Zbl 1111.35035Huang, Feimin; Li, Jing; Xin, Zhouping 7 2006 Vortex sheets with reflection symmetry in exterior domains. Zbl 1102.76009Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Zhouping 4 2006 On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154He, Cheng; Xin, Zhouping 257 2005 Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110He, Cheng; Xin, Zhouping 120 2005 Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1110.35058Jiang, Song; Xin, Zhouping; Zhang, Ping 106 2005 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,903 Authors 95 Xin, Zhouping 71 Yin, Zhaoyang 55 Zhu, Changjiang 42 Yang, Tong 33 Huang, Feimin 32 Zhou, Yong 30 Du, Lili 29 Fan, Jishan 27 Jiu, Quansen 27 Tan, Zhong 26 Wang, Shu 25 Li, Yeping 25 Li, Yongsheng 24 Guo, Zhengguang 24 Wang, Yi 23 Gala, Sadek 23 Guo, Zhenhua 23 Yao, Zhengan 23 Zhang, Zujin 22 Zhao, Huijiang 21 Li, Fucai 21 Wen, Huanyao 21 Yin, Huicheng 21 Zhong, Xin 20 Huang, Xiangdi 20 Li, Hailiang 20 Mei, Ming 20 Yan, Wei 20 Zhang, Zhifei 19 Luo, Tao 19 Ou, Yaobin 19 Wang, Yongfu 19 Zhang, Ting 18 Chen, Gui-Qiang G. 18 Ding, Shijin 18 Lian, Ruxu 18 Yao, Lei 18 Zhang, Jianwen 17 Lai, Shaoyong 17 Yuan, Hairong 17 Zhu, Shengguo 16 Jin, Shi 16 Li, Jing 16 Li, Jinkai 16 Li, Yachun 16 Liu, Jianguo 15 Guo, Boling 15 Lopes Filho, Milton da Costa 15 Nussenzveig Lopes, Helena Judith 15 Wang, Weike 15 Wang, Yanqing 15 Xiang, Wei 15 Zhao, Junning 15 Zumbrun, Kevin R. 14 Banda, Mapundi Kondwani 14 Cheng, Jianfeng 14 Duan, Ben 14 Duan, Renjun 14 Klar, Axel 14 Qiao, Zhijun 14 Tang, Tong 14 Weng, Shangkun 14 Xie, Chunjing 14 Zhang, Kaijun 13 Berthon, Christophe 13 Fang, Daoyuan 13 Feireisl, Eduard 13 Hu, Qiaoyi 13 Liu, Hailiang 13 Pan, Ronghua 13 Tian, Lixin 13 Wang, Teng 13 Wang, Wendong 13 Wang, Yun 13 Xie, Feng 13 Yuan, Baoquan 13 Zeng, Huihui 13 Zhai, Xiaoping 12 Bian, Dongfen 12 Herty, Michael Matthias 12 Li, Zilai 12 Liu, Cheng-Jie 12 Ragusa, Maria Alessandra 12 Shi, Xiaoding 12 Wang, Jing 12 Wu, Yonghong 12 Yan, Kai 12 Yin, Haiyan 12 Zhou, Shouming 11 Coquel, Frédéric 11 Guan, Chunxia 11 He, Cheng 11 Jiang, Song 11 Natalini, Roberto 11 Qin, Yuming 11 Ruan, Lizhi 11 Wang, Chunpeng 11 Wang, Ya-Guang 11 Wang, Zhian 11 Xu, Gang ...and 1,803 more Authors all top 5 Cited in 235 Serials 347 Journal of Differential Equations 166 Journal of Mathematical Analysis and Applications 117 Archive for Rational Mechanics and Analysis 103 Nonlinear Analysis. 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(English Edition) 10 Analysis and Applications (Singapore) 9 Mathematical Physics, Analysis and Geometry 9 Journal of Inequalities and Applications 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Electronic Research Archive 8 Numerische Mathematik 8 Proceedings of the American Mathematical Society 8 Journal of Nonlinear Science 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Discrete and Continuous Dynamical Systems. Series S 7 Indiana University Mathematics Journal 7 Applied Numerical Mathematics 7 SIAM Journal on Scientific Computing 7 Communications in Computational Physics 6 Mathematische Annalen 6 Numerical Methods for Partial Differential Equations 6 Asymptotic Analysis 6 Science in China. Series A 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Mathematical Sciences (New York) 6 Communications in Contemporary Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series 5 SIAM Journal on Numerical Analysis 5 Mathematical and Computer Modelling 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 Journal of Nonlinear Mathematical Physics 5 Multiscale Modeling & Simulation 5 Advances in Mathematical Physics 5 Journal of Function Spaces 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Fluid Mechanics 4 Journal of Statistical Physics 4 Annales de l’Institut Fourier 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Inventiones Mathematicae 4 Mathematische Nachrichten 4 Revista Matemática Iberoamericana 4 Journal of the American Mathematical Society 4 Japan Journal of Industrial and Applied Mathematics 4 Open Mathematics 4 Séminaire Laurent Schwartz. 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Nonlinear Differential Equations and Applications ...and 135 more Serials all top 5 Cited in 36 Fields 2,452 Partial differential equations (35-XX) 1,864 Fluid mechanics (76-XX) 221 Numerical analysis (65-XX) 132 Statistical mechanics, structure of matter (82-XX) 55 Classical thermodynamics, heat transfer (80-XX) 54 Dynamical systems and ergodic theory (37-XX) 41 Mechanics of deformable solids (74-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 35 Biology and other natural sciences (92-XX) 31 Astronomy and astrophysics (85-XX) 28 Optics, electromagnetic theory (78-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 19 Probability theory and stochastic processes (60-XX) 17 Mechanics of particles and systems (70-XX) 16 Systems theory; control (93-XX) 14 Operations research, mathematical programming (90-XX) 13 Functional analysis (46-XX) 13 Quantum theory (81-XX) 13 Geophysics (86-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Relativity and gravitational theory (83-XX) 4 Measure and integration (28-XX) 3 Computer science (68-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 General topology (54-XX) 1 Statistics (62-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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