Xin, Zhouping

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 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
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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
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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
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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)

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 1048.35092
Xin, Zhouping; Zhang, Ping
2000
The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Zbl 0826.65078
Jin, Shi; Xin, Zhouping
1995
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
2005
Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Zbl 0937.35134
Xin, Zhouping
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
2012
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
1998
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
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
2008
On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1117.35063
Xiao, Yuelong; Xin, Zhouping
2007
Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1110.35058
Jiang, Song; Xin, Zhouping; Zhang, Ping
2005
Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2011
Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068
Huang, Feimin; Xin, Zhouping; Yang, Tong
2008
On the global existence of solutions to the Prandtl’s system. Zbl 1052.35135
Xin, Zhouping; Zhang, Liqun
2004
Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations. Zbl 0682.35087
Liu, Tai-Ping; Xin, Zhouping
1988
Nonlinear stability of viscous shock waves. Zbl 0803.35097
Szepessy, Anders; Xin, Zhouping
1993
On the uniqueness and large time behavior of the weak solutions to a shallow water equation. Zbl 1034.35115
Xin, Zhouping; Zhang, Ping
2002
Global subsonic and subsonic-sonic flows through infinitely long nozzles. Zbl 1156.35076
Xie, Chunjing; Xin, Zhouping
2007
Blowup criterion for viscous baratropic flows with vacuum states. Zbl 1213.35135
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2011
Large time behavior of the solutions to a hydrodynamic model for semiconductors. Zbl 0936.35111
Luo, Tao; Natalini, Roberto; Xin, Zhouping
1999
Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1151.35071
Guo, Zhenhua; Jiu, Quansen; Xin, Zhouping
2008
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping
2006
Interface behavior of compressible Navier-Stokes equations with vacuum. Zbl 0966.35098
Luo, Tao; Xin, Zhouping; Yang, Tong
2000
Existence of global steady subsonic Euler flows through infinitely long nozzles. Zbl 1218.35170
Xie, Chunjing; Xin, Zhouping
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
2012
On blowup of classical solutions to the compressible Navier-Stokes equations. Zbl 1287.35059
Xin, Zhouping; Yan, Wei
2013
Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. Zbl 1233.35156
Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping
2012
Transonic shock in a nozzle. I: 2D case. Zbl 1076.76043
Xin, Zhouping; Yin, Huicheng
2005
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
2014
Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. Zbl 1193.35143
Xie, Chunjing; Xin, Zhouping
2010
Subsonic flows in a multi-dimensional nozzle. Zbl 1452.76200
Du, Lili; Xin, Zhouping; Yan, Wei
2011
Viscous limits for piecewise smooth solutions to systems of conservation laws. Zbl 0792.35115
Goodman, Jonathan; Xin, Zhouping
1992
Zero dissipation limit to rarefaction waves for the one-dimensional Navier-Stokes equations of compressible isentropic gases. Zbl 0804.35108
Xin, Zhouping
1993
Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Zbl 1293.35224
Du, Lili; Xie, Chunjing; Xin, Zhouping
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
2014
A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. Zbl 1256.35059
Huang, Xiangdi; Xin, Zhouping
2010
Numerical passage from systems of conservation laws to Hamilton–Jacobi equations, and relaxation schemes. Zbl 0921.65063
Jin, Shi; Xin, Zhouping
1998
Gradient estimation on Navier-Stokes equations. Zbl 0939.35139
Tian, Gang; Xin, Zhouping
1999
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
1999
The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440
Jiu, Quansen; Xin, Zhouping
2008
Pointwise decay to contact discontinuities for systems of viscous conservation laws. Zbl 0928.35095
Liu, Tai-Ping; Xin, Zhouping
1997
Global shock waves for the supersonic flow past a perturbed cone. Zbl 1006.76080
Chen, Shuxing; Xin, Zhouping; Yin, Huicheng
2002
Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165
Jiu, Quansen; Wang, Yi; Xin, Zhouping
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
2014
Stability of rarefaction waves to the 1D compressible Navier-Stokes equations with density-dependent viscosity. Zbl 1228.35138
Jiu, Quansen; Wang, Yi; Xin, Zhouping
2011
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
2013
The transonic shock in a nozzle, 2-D and 3-D complete Euler systems. Zbl 1165.35031
Xin, Zhouping; Yin, Huicheng
2008
Transonic shock problem for the Euler system in a nozzle. Zbl 1423.76386
Xin, Zhouping; Yan, Wei; Yin, Huicheng
2009
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
2019
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
1995
Asymptotic stability of planar rarefaction waves for viscous conservation laws in several dimensions. Zbl 0718.35062
Xin, Zhouping
1990
On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle. Zbl 1286.35209
Wang, Chunpeng; Xin, Zhouping
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
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
2016
Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations. Zbl 1203.35184
Xin, Zhouping; Zeng, Huihui
2010
On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. Zbl 1344.35150
Luo, Tao; Xin, Zhouping; Zeng, Huihui
2016
On transonic shocks in a nozzle with variable end pressures. Zbl 1187.35138
Li, Jun; Xin, Zhouping; Yin, Huicheng
2009
Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions. Zbl 0980.35027
Wang, Wei-Cheng; Xin, Zhouping
1998
On the decay properties of solutions to the non-stationary Navier-Stokes equations in $$\mathbb{R}^3$$. Zbl 0982.35083
He, Cheng; Xin, Zhouping
2001
Existence of vortex sheets with reflection symmetry in two space dimensions. Zbl 1058.35176
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Zhouping
2001
Asymptotic stability of rarefaction waves for 2$$\times 2$$ viscous hyperbolic conservation laws. Zbl 0669.35072
Xin, Zhouping
1988
Viscous boundary layers and their stability. I. Zbl 0906.35057
Xin, Zhouping
1998
One-point singular solutions to the Navier-Stokes equations. Zbl 0923.35121
Tian, Gang; Xin, Zhouping
1998
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
2016
Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. Zbl 1181.35206
Xiao, Yuelong; Xin, Zhouping; Wu, Jiahong
2009
On nonlinear stability of contact discontinuities. Zbl 0918.35117
Xin, Zhouping
1996
Asymptotic stability of rarefraction waves for 2$$\times 2$$ viscous hyperbolic conservation laws - the two-modes case. Zbl 0705.34056
Xin, Zhouping
1989
Nonlinear stability of shock fronts for a relaxation system in several space dimensions. Zbl 0893.35072
Luo, Tao; Xin, Zhouping
1997
Optimal Hölder continuity for a class of degenerate elliptic problems with an application to subsonic-sonic flows. Zbl 1245.76132
Wang, Chunpeng; Xin, Zhouping
2011
Smooth transonic flows of Meyer type in de laval nozzles. Zbl 1414.35176
Wang, Chunpeng; Xin, Zhouping
2019
Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055
Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
2011
Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068
Wang, Lizhen; Xin, Zhouping; Zang, Aibin
2012
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.
2006
Subsonic irrotational flows in a finitely long nozzle with variable end pressure. Zbl 1306.76023
Du, Lili; Weng, Shangkun; Xin, Zhouping
2014
The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shocks. Zbl 0850.76601
Xin, Zhouping
1991
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
2010
Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165
Luo, Tao; Xin, Zhouping
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
2013
On sonic curves of smooth subsonic-sonic and transonic flows. Zbl 1410.76137
Wang, Chunpeng; Xin, Zhouping
2016
Uniqueness via the adjoint problems for systems of conservation laws. Zbl 0797.35116
Le Floch, Philippe; Xin, Zhouping
1993
Convergence of the point vortex method for 2-D vortex sheet. Zbl 0977.76069
Liu, Jian-Guo; Xin, Zhouping
2001
Homogeneity criterion for the Navier-Stokes equations in the whole spaces. Zbl 0982.35081
Chen, Zhi Min; Xin, Zhouping
2001
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
2006
Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080
Xin, Zhouping; Yin, Huicheng
2006
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
2006
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
2009
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
2000
Nonlinear stability of discrete shocks for systems of conservation laws. Zbl 0807.35087
Liu, Jian-Guo; Xin, Zhouping
1993
Global smooth supersonic flows in infinite expanding nozzles. Zbl 1319.76024
Wang, Chunpeng; Xin, Zhouping
2015
Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms. Zbl 1337.35114
Luo, Tianwen; Xie, Chunjing; Xin, Zhouping
2016
Two dimensional subsonic Euler flows past a wall or a symmetric body. Zbl 1338.35342
Chen, Chao; Du, Lili; Xie, Chunjing; Xin, Zhouping
2016
Remarks on vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1305.35106
Xiao, Yuelong; Xin, Zhouping
2011
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
2015
Boundary-layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation. Zbl 0858.76073
Liu, Jian-Guo; Xin, Zhouping
1996
Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054
Xin, Zhouping; Yuan, Hongjun
2006
Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077
Li, Jinkai; Xin, Zhouping
2016
On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions. Zbl 1307.35203
Xiao, Yuelong; Xin, Zhouping
2013
Three-dimensional transonic shocks in a nozzle. Zbl 1232.35097
Xin, Zhouping; Yin, Huicheng
2008
Some regularity criteria on suitable weak solutions of the 3-D incompressible axisymmetric Navier-Stokes equations. Zbl 1054.35053
Jiu, Quansen; Xin, Zhouping
2003
Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. Zbl 1239.35109
Guo, Zhenhua; Xin, Zhouping
2012
The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443
Xin, Zhouping; Yang, Tong; Yu, Hongjun
2012
Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions. Zbl 1454.76067
Xin, Zhouping; Xu, Jiang
2021
Regular subsonic-sonic flows in general nozzles. Zbl 1458.35321
Wang, Chunpeng; Xin, Zhouping
2021
Vanishing viscosity and surface tension limits of incompressible viscous surface waves. Zbl 1459.35314
Wang, Yanjin; Xin, Zhouping
2021
Steady compressible radially symmetric flows with nonzero angular velocity in an annulus. Zbl 1462.76124
Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei
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
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
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
2021
Global well-posedness of free interface problems for the incompressible inviscid resistive MHD. Zbl 1477.35182
Wang, Yanjin; Xin, Zhouping
2021
On some smooth symmetric transonic flows with nonzero angular velocity and vorticity. Zbl 07466874
Weng, Shangkun; Xin, Zhouping; Yuan, Hongwei
2021
Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws. Zbl 07468280
Xin, Zhouping; Yuan, Qian; Yuan, Yuan
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
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
2019
Smooth transonic flows of Meyer type in de laval nozzles. Zbl 1414.35176
Wang, Chunpeng; Xin, Zhouping
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
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
2019
On scaling invariance and type-I singularities for the compressible Navier-Stokes equations. Zbl 1425.35136
Lei, Zhen; Xin, Zhouping
2019
On an elliptic free boundary problem and subsonic jet flows for a given surrounding pressure. Zbl 1411.35290
Wang, Chunpeng; Xin, Zhouping
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
2018
Stability analysis for the incompressible Navier-Stokes equations with Navier boundary conditions. Zbl 1393.76094
Ding, Shijin; Li, Quanrong; Xin, Zhouping
2018
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
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
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
2016
On sonic curves of smooth subsonic-sonic and transonic flows. Zbl 1410.76137
Wang, Chunpeng; Xin, Zhouping
2016
Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms. Zbl 1337.35114
Luo, Tianwen; Xie, Chunjing; Xin, Zhouping
2016
Two dimensional subsonic Euler flows past a wall or a symmetric body. Zbl 1338.35342
Chen, Chao; Du, Lili; Xie, Chunjing; Xin, Zhouping
2016
Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077
Li, Jinkai; Xin, Zhouping
2016
On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity. Zbl 1339.35213
Huang, Xiangdi; Xin, Zhouping
2016
Global smooth supersonic flows in infinite expanding nozzles. Zbl 1319.76024
Wang, Chunpeng; Xin, Zhouping
2015
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
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
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
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
2014
Steady subsonic ideal flows through an infinitely long nozzle with large vorticity. Zbl 1293.35224
Du, Lili; Xie, Chunjing; Xin, Zhouping
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
2014
Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. Zbl 1308.35165
Jiu, Quansen; Wang, Yi; Xin, Zhouping
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
2014
Subsonic irrotational flows in a finitely long nozzle with variable end pressure. Zbl 1306.76023
Du, Lili; Weng, Shangkun; Xin, Zhouping
2014
On blowup of classical solutions to the compressible Navier-Stokes equations. Zbl 1287.35059
Xin, Zhouping; Yan, Wei
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
2013
On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle. Zbl 1286.35209
Wang, Chunpeng; Xin, Zhouping
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
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
2013
On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions. Zbl 1307.35203
Xiao, Yuelong; Xin, Zhouping
2013
On 3D Lagrangian Navier-Stokes $$\alpha$$ model with a class of vorticity-slip boundary conditions. Zbl 1284.35324
Xiao, Yuelong; Xin, Zhouping
2013
Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles. Zbl 1287.35073
Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
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
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
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
2012
Vanishing viscous limits for 3D Navier-Stokes equations with a Navier-slip boundary condition. Zbl 1256.35068
Wang, Lizhen; Xin, Zhouping; Zang, Aibin
2012
Transonic shock solutions for a system of Euler-Poisson equations. Zbl 1286.35165
Luo, Tao; Xin, Zhouping
2012
Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. Zbl 1239.35109
Guo, Zhenhua; Xin, Zhouping
2012
The Boltzmann equation with soft potentials near a local Maxwellian. Zbl 1387.35443
Xin, Zhouping; Yang, Tong; Yu, Hongjun
2012
A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit. Zbl 1426.76111
Xiao, Yuelong; Xin, Zhouping
2012
Serrin-type criterion for the three-dimensional viscous compressible flows. Zbl 1241.35161
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2011
Blowup criterion for viscous baratropic flows with vacuum states. Zbl 1213.35135
Huang, Xiangdi; Li, Jing; Xin, Zhouping
2011
Subsonic flows in a multi-dimensional nozzle. Zbl 1452.76200
Du, Lili; Xin, Zhouping; Yan, Wei
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
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
2011
Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055
Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
2011
Remarks on vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1305.35106
Xiao, Yuelong; Xin, Zhouping
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
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
2011
Existence of global steady subsonic Euler flows through infinitely long nozzles. Zbl 1218.35170
Xie, Chunjing; Xin, Zhouping
2010
Global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles. Zbl 1193.35143
Xie, Chunjing; Xin, Zhouping
2010
A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. Zbl 1256.35059
Huang, Xiangdi; Xin, Zhouping
2010
Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier-Stokes equations. Zbl 1203.35184
Xin, Zhouping; Zeng, Huihui
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
2010
On transonic shocks in a conic divergent nozzle with axi-symmetric exit pressures. Zbl 1191.35179
Li, Jun; Xin, Zhouping; Yin, Huicheng
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
2010
Pointwise stability of contact discontinuity for viscous conservation laws with general perturbations. Zbl 1204.35050
Xin, Zhouping; Zeng, Huihui
2010
Well-posedness for the density-dependent incompressible Euler equations in the critical Besov spaces. Zbl 07448880
Zhou, Yong; Xin, Zhouping; Fan, Jishan
2010
Transonic shock problem for the Euler system in a nozzle. Zbl 1423.76386
Xin, Zhouping; Yan, Wei; Yin, Huicheng
2009
On transonic shocks in a nozzle with variable end pressures. Zbl 1187.35138
Li, Jun; Xin, Zhouping; Yin, Huicheng
2009
Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition. Zbl 1181.35206
Xiao, Yuelong; Xin, Zhouping; Wu, Jiahong
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
2009
Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity. Zbl 1191.35176
Tang, Chunlei; Xin, Zhouping
2009
Smooth approximations and exact solutions of the 3D steady axisymmetric Euler equations. Zbl 1173.35639
Jiu, Quansen; Xin, Zhouping
2009
On the self-similar solutions of the magneto-hydro-dynamic equations. Zbl 1212.35363
He, Cheng; Xin, Zhouping
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
2008
Contact discontinuity with general perturbations for gas motions. Zbl 1155.35068
Huang, Feimin; Xin, Zhouping; Yang, Tong
2008
Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients. Zbl 1151.35071
Guo, Zhenhua; Jiu, Quansen; Xin, Zhouping
2008
The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients. Zbl 1144.35440
Jiu, Quansen; Xin, Zhouping
2008
The transonic shock in a nozzle, 2-D and 3-D complete Euler systems. Zbl 1165.35031
Xin, Zhouping; Yin, Huicheng
2008
Three-dimensional transonic shocks in a nozzle. Zbl 1232.35097
Xin, Zhouping; Yin, Huicheng
2008
Vacuum problem of one-dimensional compressible Navier-Stokes equations. Zbl 1369.76012
Li, Hai-Liang; Li, Jing; Xin, Zhouping
2008
On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Zbl 1117.35063
Xiao, Yuelong; Xin, Zhouping
2007
Global subsonic and subsonic-sonic flows through infinitely long nozzles. Zbl 1156.35076
Xie, Chunjing; Xin, Zhouping
2007
On strong convergence to 3D steady vortex sheets. Zbl 1146.35068
Jiu, Quansen; Xin, Zhouping
2007
Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations. Zbl 1079.76032
Huang, Feimin; Matsumura, Akitaka; Xin, Zhouping
2006
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.
2006
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
2006
Global multidimensional shock wave for the steady supersonic flow past a three-dimensional curved cone. Zbl 1094.35080
Xin, Zhouping; Yin, Huicheng
2006
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
2006
Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. Zbl 1106.35054
Xin, Zhouping; Yuan, Hongjun
2006
On strong convergence to 3D axisymmetric vortex sheets. Zbl 1092.35087
Jiu, Quansen; Xin, Zhouping
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 1111.35035
Huang, Feimin; Li, Jing; Xin, Zhouping
2006
Vortex sheets with reflection symmetry in exterior domains. Zbl 1102.76009
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Zhouping
2006
On the regularity of weak solutions to the magnetohydrodynamic equations. Zbl 1072.35154
He, Cheng; Xin, Zhouping
2005
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations. Zbl 1083.35110
He, Cheng; Xin, Zhouping
2005
Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1110.35058
Jiang, Song; Xin, Zhouping; Zhang, Ping
2005
...and 56 more Documents
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
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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. Real World Applications 100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 93 Journal of Mathematical Physics 82 SIAM Journal on Mathematical Analysis 74 ZAMP. Zeitschrift für angewandte Mathematik und Physik 71 Journal of Mathematical Fluid Mechanics 68 Discrete and Continuous Dynamical Systems 60 Journal of Computational Physics 59 Mathematical Methods in the Applied Sciences 51 Communications in Mathematical Physics 46 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 Applicable Analysis 38 Science China. Mathematics 36 Acta Applicandae Mathematicae 36 Applied Mathematics Letters 34 Boundary Value Problems 33 Communications on Pure and Applied Analysis 31 Acta Mathematicae Applicatae Sinica. English Series 30 Journal of Functional Analysis 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 29 Communications in Partial Differential Equations 27 Mathematics of Computation 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Applied Mathematics and Computation 24 Physica D 24 Journal of Hyperbolic Differential Equations 23 Acta Mathematica Sinica. English Series 22 Discrete and Continuous Dynamical Systems. Series B 21 Advances in Mathematics 21 Abstract and Applied Analysis 20 Kinetic and Related Models 19 Computers & Mathematics with Applications 19 Journal of Scientific Computing 17 Nonlinearity 15 Quarterly of Applied Mathematics 15 Chinese Annals of Mathematics. Series B 15 Calculus of Variations and Partial Differential Equations 14 Monatshefte für Mathematik 13 Communications on Pure and Applied Mathematics 12 Computers and Fluids 12 Journal of Dynamics and Differential Equations 12 Journal of Evolution Equations 11 Transactions of the American Mathematical Society 10 Journal of Computational and Applied Mathematics 10 Acta Mathematica Scientia. Series B. (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. EDP et Applications 3 Transport Theory and Statistical Physics 3 Annales Polonici Mathematici 3 Mathematics and Computers in Simulation 3 Studies in Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Mathematics and Mechanics. (English Edition) 3 Applications of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Physics of Fluids 3 NoDEA. Nonlinear Differential Equations and Applications ...and 135 more Serials
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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)

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