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## Zhang, Ping

Compute Distance To:
 Author ID: zhang.ping.3 Published as: Zhang, P.; Zhang, Ping Homepage: http://sourcedb.cas.cn/sourcedb_amss_cas/yw/rck/200907/t20090727_2266815.html
 Documents Indexed: 156 Publications since 1997, including 5 Books
all top 5

#### Co-Authors

 4 single-authored 16 Lin, Fang Hua 15 Zhang, Zhifei 15 Zheng, Yuxi 12 Paicu, Marius 11 Chemin, Jean-Yves 9 Abidi, Hammadi 7 Qiu, Qingjiu 6 Gui, Guilong 6 Jiang, Song 4 Huang, Jingchi 4 Liao, Xian 4 Liu, Yanlin 4 Ming, Mei 3 Wang, Xueping 3 Xin, Zhouping 3 Xu, Li 2 Gallagher, Isabelle 2 He, Lingbing 2 Liu, Chun 2 Masmoudi, Nader 2 Ri, Myong-Hwan 2 Wu, Guangrong 1 Bressan, Alberto 1 Chen, Geng 1 Chen, Gui-Qiang G. 1 Chen, Yemin 1 Danchin, Raphaël 1 Du, Qiang 1 Feireisl, Eduard 1 Martínez Gamba, Irene 1 Goudon, Thierry 1 Gualdani, Maria Pia 1 Hsiao, Ling 1 Lin, Taichia 1 Moussa, Ayman 1 Saut, Jean-Claude 1 Zhang, Ting
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#### Serials

 14 Archive for Rational Mechanics and Analysis 11 Communications on Pure and Applied Mathematics 6 Communications in Mathematical Physics 6 Journal of Functional Analysis 6 Chinese Annals of Mathematics. Series B 6 Communications in Partial Differential Equations 6 SIAM Journal on Mathematical Analysis 5 Morningside Lectures in Mathematics 3 Advances in Mathematics 3 Journal of Differential Equations 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Science China. Mathematics 2 Monatshefte für Mathematik 2 Science in China. Series A 2 Journal of Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Methods and Applications of Analysis 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Fluid Mechanics 2 Acta Mathematica Sinica. English Series 1 Nonlinearity 1 Acta Mathematica Sinica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series A 1 Physica D 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Séminaire Équations aux Dérivées Partielles 1 Communications on Pure and Applied Analysis 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis in Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 116 Partial differential equations (35-XX) 93 Fluid mechanics (76-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 10 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

112 Publications have been cited 2,500 times in 1,390 Documents Cited by Year
On the weak solutions to a shallow water equation. Zbl 1048.35092
Xin, Zhouping; Zhang, Ping
2000
On hydrodynamics of viscoelastic fluids. Zbl 1076.76006
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2005
On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations. Zbl 0980.35126
Jiang, Song; Zhang, Ping
2001
Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity. Zbl 1110.35058
Jiang, Song; Xin, Zhouping; Zhang, Ping
2005
Global small solutions of 2-D incompressible MHD system. Zbl 1321.35138
Lin, Fanghua; Xu, Li; Zhang, Ping
2015
Global small solutions to an MHD-type system: the three-dimensional case. Zbl 1298.35153
Lin, Fanghua; Zhang, Ping
2014
On the initial-boundary value problem of the incompressible viscoelastic fluid system. Zbl 1137.35414
Lin, Fanghua; Zhang, Ping
2008
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 solutions to the 3-D incompressible inhomogeneous Navier-Stokes system. Zbl 1236.35112
Paicu, Marius; Zhang, Ping
2012
On the free boundary problem of three-dimensional incompressible Euler equations. Zbl 1158.35107
Zhang, Ping; Zhang, Zhifei
2008
The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials. Zbl 1049.74753
Zhang, P.; Huang, Y.; Geubelle, P. H.; Klein, P. A.; Hwang, K. C.
2002
On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces. Zbl 1314.76021
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2012
The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions. Zbl 1105.76008
Chen, Yemin; Zhang, Ping
2006
Global small solutions to three-dimensional incompressible magnetohydrodynamical system. Zbl 1352.35099
Xu, Li; Zhang, Ping
2015
On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations. Zbl 1132.35068
Chemin, Jean-Yves; Zhang, Ping
2007
Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids. Zbl 1109.35088
Jiang, Song; Zhang, Ping
2003
Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density. Zbl 1314.35086
Paicu, Marius; Zhang, Ping; Zhang, Zhifei
2013
On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations. Zbl 1222.35148
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2011
Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces. Zbl 1237.35129
Paicu, Marius; Zhang, Ping
2011
The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142
Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping
2010
Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity. Zbl 1287.35055
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Weak solutions to a nonlinear variational wave equation. Zbl 1029.35173
Zhang, Ping; Zheng, Yuxi
2003
Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data. Zbl 0982.35062
Zhang, Ping; Zheng, Yuxi
2000
Weak solutions to a nonlinear variational wave equation with general data. Zbl 1082.35129
Zhang, Ping; Zheng, Yuxi
2005
On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2007
On the hydrodynamic limit of Ginzburg-Landau vortices. Zbl 1034.35128
Lin, Fanghua; Zhang, Ping
2000
On the critical one component regularity for 3-D Navier-Stokes system. Zbl 1342.35210
Chemin, Jean-Yves; Zhang, Ping
2016
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
2007
On the global existence of smooth solution to the 2-D FENE dumbbell model. Zbl 1143.82035
Lin, Fanghua; Zhang, Ping; Zhang, Zhifei
2008
Long time well-posedness of Prandtl system with small and analytic initial data. Zbl 1337.35113
Zhang, Ping; Zhang, Zhifei
2016
Stability to the global large solutions of 3-D Navier-Stokes equations. Zbl 1202.35004
Gui, Guilong; Zhang, Ping
2010
On oscillations of an asymptotic equation of a nonlinear variational wave equation. Zbl 0935.35031
Zhang, Ping; Zheng, Yuxi
1998
Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field. Zbl 1284.35302
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2013
On the global solution of a 3-D MHD system with initial data near equilibrium. Zbl 1372.35229
2017
Existence of weak solutions to some vortex density models. Zbl 1044.35085
Du, Qiang; Zhang, Ping
2003
Rarefactive solutions to a nonlinear variational wave equation of liquid crystals. Zbl 0989.35112
Zhang, Ping; Zheng, Yuxi
2001
On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation. Zbl 0930.35142
Zhang, Ping; Zheng, Yuxi
1999
Conservative solutions to a system of variational wave equations of nematic liquid crystals. Zbl 1304.76008
Zhang, Ping; Zheng, Yuxi
2010
Global smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with variable viscosity. Zbl 1189.35228
Gui, Guilong; Zhang, Ping
2009
Global solutions to vortex density equations arising from sup-conductivity. Zbl 1070.35036
2005
An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation. Zbl 1112.74311
Zhang, P.; Jiang, H.; Huang, Y.; Geubelle, P. H.; Hwang, K. C.
2004
On the critical one component regularity for 3-D Navier-Stokes system: general case. Zbl 1371.35193
Chemin, Jean-Yves; Zhang, Ping; Zhang, Zhifei
2017
Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity. Zbl 1290.35184
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas. Zbl 1055.76048
Jiang, Song; Zhang, Ping
2003
Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable. Zbl 1317.35171
Chemin, Jean-Yves; Paicu, Marius; Zhang, Ping
2014
Energy conservative solutions to a one-dimensional full variational wave system. Zbl 1236.35127
Zhang, Ping; Zheng, Yuxi
2012
Singular and rarefactive solutions to a nonlinear variational wave equation. Zbl 0980.35137
Zhang, Ping; Zheng, Yuxi
2001
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. Zbl 1297.35167
Danchin, Raphaël; Zhang, Ping
2014
Global well-posedness for 2D polymeric fluid models and growth estimate. Zbl 1143.76356
Masmoudi, Nader; Zhang, Ping; Zhang, Zhifei
2008
Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable. Zbl 1229.35180
Gui, Guilong; Huang, Jingchi; Zhang, Ping
2011
Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain. Zbl 1079.76016
Lin, Fanghua; Zhang, Ping
2006
On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow. Zbl 1336.35276
Liao, Xian; Zhang, Ping
2016
Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations. Zbl 1123.35071
Lin, Tai-Chia; Zhang, Ping
2006
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
2013
On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106
Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping
2009
Fracture nucleation in single-wall carbon nanotubes under tension: a continuum analysis incorporating interatomic potentials. Zbl 1110.74793
Zhang, P.; Huang, Y.; Gao, H.; Hwang, K. C.
2002
Global smooth solutions to the 2-D nonhomogeneous Navier-Stokes equations. Zbl 1178.35297
Zhang, Ping
2008
Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors. Zbl 1004.82018
Hsiao, Ling; Jiang, Song; Zhang, Ping
2002
On the second-order asymptotic equation of a variational wave equation. Zbl 1006.35005
Zhang, Ping; Zheng, Yuxi
2002
On the global well-posedness of 2-D Boussinesq system with variable viscosity. Zbl 1353.35220
2017
Sums of large global solutions to the incompressible Navier-Stokes equations. Zbl 1300.35068
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping
2013
Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168
Ming, Mei; Saut, Jean Claude; Zhang, Ping
2012
Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case. Zbl 1409.35166
Liao, Xian; Zhang, Ping
2019
Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method. Zbl 1403.76054
Zhang, Xiaohua; Zhang, Ping
2015
Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity. Zbl 1327.35294
2015
Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension. Zbl 1290.35212
Xu, Li; Zhang, Ping; Zhang, Zhifei
2013
On the global weak solutions to a variational wave equation. Zbl 1085.35111
Zhang, Ping; Zheng, Yuxi
2005
Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. Zbl 1414.35166
Deng, Wen; Zhang, Ping
2018
On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient. Zbl 1320.35252
2015
Quasi-neutral limit for a model of viscous plasma. Zbl 1198.35194
Feireisl, Eduard; Zhang, Ping
2010
Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system. Zbl 1333.35154
2015
Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable. Zbl 1323.35128
Chemin, Jean-Yves; Zhang, Ping
2015
Regularity of the Koch-Tataru solutions to Navier-Stokes system. Zbl 1238.35091
Zhang, Ping; Zhang, Ting
2012
The FENE dumbbell model near equilibrium. Zbl 1143.76008
Lin, Fanghua; Zhang, Ping
2008
Weak solutions to a nonlinear variational wave equation and some related problems. Zbl 1164.35330
Zhang, Ping
2006
Global well-posedness for Navier-Stokes equations with small initial value in $$B^{0}_{n,\infty}(\Omega)$$. Zbl 1334.35209
Ri, Myong-Hwan; Zhang, Ping; Zhang, Zhifei
2016
$$L^2$$ decay of solutions to a micro-macro model for polymeric fluids near equilibrium. Zbl 1171.76003
He, Lingbing; Zhang, Ping
2009
Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data. Zbl 1033.35084
Jiang, Song; Zhang, Ping
2002
High-frequency limit of the Helmholtz equation with variable refraction index. Zbl 1141.35016
Wang, Xue Ping; Zhang, Ping
2006
On the propagation of high order regularities of boundary in 3-D vortex patches. Zbl 0886.35119
Zhang, Ping; Qiu, Qingjiu
1997
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping
2019
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density. Zbl 1273.35211
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Long-wave approximation to the 3-D capillary-gravity waves. Zbl 1251.35087
Ming, Mei; Zhang, Ping; Zhang, Zhifei
2012
Three-dimensional multi-mesh material point method for solving collision problems. Zbl 1392.74047
Pan, Xiao-Fei; Xu, Ai-Guo; Zhang, Guang-Cai; Zhang, Ping; Zhu, Jian-Shi; Ma, Shang; Zhang, Xiong
2008
On the local well-posedness for the dumbbell model of polymeric fluids. Zbl 1174.82014
Zhang, Ping; Zhang, Zhifei
2008
On the local wellposedness of 3D water wave problem with vorticity. Zbl 1134.35084
Zhang, Ping; Zhang, Zhi-Fei
2007
Global solutions of 3-d Navier-Stokes system with small unidirectional derivative. Zbl 1435.35280
Liu, Yanlin; Zhang, Ping
2020
Some remarks about the possible blow-up for the Navier-Stokes equations. Zbl 1428.35277
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping
2019
Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case. Zbl 1438.76013
Liao, Xian; Zhang, Ping
2019
On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component. Zbl 1384.35065
Liu, Yanlin; Zhang, Ping
2018
On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared data. Zbl 1326.35247
Paicu, Marius; Zhang, Ping
2015
Numerical modeling of Stokes flow in a circular cavity by variational multiscale element free Galerkin method. Zbl 1407.76077
Zhang, Ping; Zhang, Xiaohua
2014
Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime. Zbl 1330.76025
Ming, Mei; Zhang, Ping; Zhang, Zhifei
2012
On the hydrodynamic limit of Ginzburg-Landau wave vortices. Zbl 1033.35089
Lin, Fanghua; Zhang, Ping
2002
The Young measure method for a nonlinear variational wave equation. Zbl 1032.35141
Zhang, Ping; Zheng, Yuxi
2001
On the three dimensional revised vortex patches problem of incompressible Euler equations. Zbl 0910.35103
Zhang, Ping; Qiu, Qingjiu
1997
Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity. Zbl 1439.35375
Paicu, Marius; Zhang, Ping
2020
Reduced-order observer design for Boolean control networks. Zbl 07158650
Zhang, Zhihua; Leifeld, Thomas; Zhang, Ping
2020
Existence of incompressible and immiscible flows in critical function spaces on bounded domains. Zbl 1427.35186
Ri, Myong-Hwan; Zhang, Ping
2019
Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction. Zbl 1431.35107
Paicu, Marius; Zhang, Ping
2019
Global solutions of 3-d Navier-Stokes system with small unidirectional derivative. Zbl 1435.35280
Liu, Yanlin; Zhang, Ping
2020
Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity. Zbl 1439.35375
Paicu, Marius; Zhang, Ping
2020
Reduced-order observer design for Boolean control networks. Zbl 07158650
Zhang, Zhihua; Leifeld, Thomas; Zhang, Ping
2020
Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case. Zbl 1409.35166
Liao, Xian; Zhang, Ping
2019
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Zbl 1439.35367
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping
2019
Some remarks about the possible blow-up for the Navier-Stokes equations. Zbl 1428.35277
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping
2019
Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case. Zbl 1438.76013
Liao, Xian; Zhang, Ping
2019
Existence of incompressible and immiscible flows in critical function spaces on bounded domains. Zbl 1427.35186
Ri, Myong-Hwan; Zhang, Ping
2019
Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction. Zbl 1431.35107
Paicu, Marius; Zhang, Ping
2019
A numerical method for solving the variable coefficient wave equation with interface jump conditions. Zbl 1412.65226
Wang, Liqun; Hou, Songming; Shi, Liwei; Zhang, Ping
2019
Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. Zbl 1414.35166
Deng, Wen; Zhang, Ping
2018
On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component. Zbl 1384.35065
Liu, Yanlin; Zhang, Ping
2018
Finite horizon tracking control of Boolean control networks. Zbl 1395.93580
Zhang, Zhihua; Leifeld, Thomas; Zhang, Ping
2018
On the global solution of a 3-D MHD system with initial data near equilibrium. Zbl 1372.35229
2017
On the critical one component regularity for 3-D Navier-Stokes system: general case. Zbl 1371.35193
Chemin, Jean-Yves; Zhang, Ping; Zhang, Zhifei
2017
On the global well-posedness of 2-D Boussinesq system with variable viscosity. Zbl 1353.35220
2017
On the critical one component regularity for 3-D Navier-Stokes system. Zbl 1342.35210
Chemin, Jean-Yves; Zhang, Ping
2016
Long time well-posedness of Prandtl system with small and analytic initial data. Zbl 1337.35113
Zhang, Ping; Zhang, Zhifei
2016
On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow. Zbl 1336.35276
Liao, Xian; Zhang, Ping
2016
Global well-posedness for Navier-Stokes equations with small initial value in $$B^{0}_{n,\infty}(\Omega)$$. Zbl 1334.35209
Ri, Myong-Hwan; Zhang, Ping; Zhang, Zhifei
2016
Global small solutions of 2-D incompressible MHD system. Zbl 1321.35138
Lin, Fanghua; Xu, Li; Zhang, Ping
2015
Global small solutions to three-dimensional incompressible magnetohydrodynamical system. Zbl 1352.35099
Xu, Li; Zhang, Ping
2015
Meshless modeling of natural convection problems in non-rectangular cavity using the variational multiscale element free Galerkin method. Zbl 1403.76054
Zhang, Xiaohua; Zhang, Ping
2015
Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity. Zbl 1327.35294
2015
On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient. Zbl 1320.35252
2015
Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system. Zbl 1333.35154
2015
Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable. Zbl 1323.35128
Chemin, Jean-Yves; Zhang, Ping
2015
On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared data. Zbl 1326.35247
Paicu, Marius; Zhang, Ping
2015
Global small solutions to an MHD-type system: the three-dimensional case. Zbl 1298.35153
Lin, Fanghua; Zhang, Ping
2014
Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable. Zbl 1317.35171
Chemin, Jean-Yves; Paicu, Marius; Zhang, Ping
2014
Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. Zbl 1297.35167
Danchin, Raphaël; Zhang, Ping
2014
Numerical modeling of Stokes flow in a circular cavity by variational multiscale element free Galerkin method. Zbl 1407.76077
Zhang, Ping; Zhang, Xiaohua
2014
The effects of regularity on the geometrical properties of Voronoi tessellations. Zbl 1395.74073
Zhu, H. X.; Zhang, P.; Balint, D.; Thorpe, S. M.; Elliott, J. A.; Windle, A. H.; Lin, J.
2014
Parameter estimation of population pharmacokinetic models with stochastic differential equations: implementation of an estimation algorithm. Zbl 1426.62331
Yan, Fang-Rong; Zhang, Ping; Liu, Jun-Lin; Tao, Yu-Xi; Lin, Xiao; Lu, Tao; Lin, Jin-Guan
2014
Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density. Zbl 1314.35086
Paicu, Marius; Zhang, Ping; Zhang, Zhifei
2013
Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity. Zbl 1287.35055
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field. Zbl 1284.35302
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2013
Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity. Zbl 1290.35184
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
2013
Sums of large global solutions to the incompressible Navier-Stokes equations. Zbl 1300.35068
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping
2013
Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension. Zbl 1290.35212
Xu, Li; Zhang, Ping; Zhang, Zhifei
2013
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density. Zbl 1273.35211
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Optimization of unsteady incompressible Navier-Stokes flows using variational level set method. Zbl 1430.76111
Deng, Yongbo; Zhang, Ping; Liu, Yongshun; Wu, Yihui; Liu, Zhenyu
2013
A hybrid biogeography-based optimization with simplex method and its application. Zbl 1358.90161
Zhang, Ping; Wei, Ping; Fei, Chun; Yu, Hong-yang
2013
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system. Zbl 1236.35112
Paicu, Marius; Zhang, Ping
2012
On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces. Zbl 1314.76021
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2012
Energy conservative solutions to a one-dimensional full variational wave system. Zbl 1236.35127
Zhang, Ping; Zheng, Yuxi
2012
Long-time existence of solutions to Boussinesq systems. Zbl 1259.35168
Ming, Mei; Saut, Jean Claude; Zhang, Ping
2012
Regularity of the Koch-Tataru solutions to Navier-Stokes system. Zbl 1238.35091
Zhang, Ping; Zhang, Ting
2012
Long-wave approximation to the 3-D capillary-gravity waves. Zbl 1251.35087
Ming, Mei; Zhang, Ping; Zhang, Zhifei
2012
Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime. Zbl 1330.76025
Ming, Mei; Zhang, Ping; Zhang, Zhifei
2012
On the free boundary problem of 3-D incompressible Euler equations. Zbl 1286.35277
Zhang, Ping; Zhang, Zhifei
2012
On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations. Zbl 1222.35148
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2011
Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces. Zbl 1237.35129
Paicu, Marius; Zhang, Ping
2011
Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable. Zbl 1229.35180
Gui, Guilong; Huang, Jingchi; Zhang, Ping
2011
The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. Zbl 1217.35142
Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping
2010
Stability to the global large solutions of 3-D Navier-Stokes equations. Zbl 1202.35004
Gui, Guilong; Zhang, Ping
2010
Conservative solutions to a system of variational wave equations of nematic liquid crystals. Zbl 1304.76008
Zhang, Ping; Zheng, Yuxi
2010
Quasi-neutral limit for a model of viscous plasma. Zbl 1198.35194
Feireisl, Eduard; Zhang, Ping
2010
Global smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with variable viscosity. Zbl 1189.35228
Gui, Guilong; Zhang, Ping
2009
On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106
Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping
2009
$$L^2$$ decay of solutions to a micro-macro model for polymeric fluids near equilibrium. Zbl 1171.76003
He, Lingbing; Zhang, Ping
2009
On the initial-boundary value problem of the incompressible viscoelastic fluid system. Zbl 1137.35414
Lin, Fanghua; Zhang, Ping
2008
On the free boundary problem of three-dimensional incompressible Euler equations. Zbl 1158.35107
Zhang, Ping; Zhang, Zhifei
2008
On the global existence of smooth solution to the 2-D FENE dumbbell model. Zbl 1143.82035
Lin, Fanghua; Zhang, Ping; Zhang, Zhifei
2008
Global well-posedness for 2D polymeric fluid models and growth estimate. Zbl 1143.76356
Masmoudi, Nader; Zhang, Ping; Zhang, Zhifei
2008
Global smooth solutions to the 2-D nonhomogeneous Navier-Stokes equations. Zbl 1178.35297
Zhang, Ping
2008
The FENE dumbbell model near equilibrium. Zbl 1143.76008
Lin, Fanghua; Zhang, Ping
2008
Three-dimensional multi-mesh material point method for solving collision problems. Zbl 1392.74047
Pan, Xiao-Fei; Xu, Ai-Guo; Zhang, Guang-Cai; Zhang, Ping; Zhu, Jian-Shi; Ma, Shang; Zhang, Xiong
2008
On the local well-posedness for the dumbbell model of polymeric fluids. Zbl 1174.82014
Zhang, Ping; Zhang, Zhifei
2008
Finite-difference lattice Boltzmann scheme for high-speed compressible flow: two-dimensional case. Zbl 1392.76061
Gan, Yan-Biao; Xu, Ai-Guo; Zhang, Guang-Cai; Zhang, Ping; Zhang, Lei; Li, Ying-Jun
2008
Remark on the regularities of Kato’s solutions to Navier-Stokes equations with initial data in $$L^d(\mathbb R^d)$$. Zbl 1158.35402
Zhang, Ping
2008
On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations. Zbl 1132.35068
Chemin, Jean-Yves; Zhang, Ping
2007
On a micro-macro model for polymeric fluids near equilibrium. Zbl 1113.76017
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
2007
Asymptotic variational wave equations. Zbl 1168.35026
Bressan, Alberto; Zhang, Ping; Zheng, Yuxi
2007
On the local wellposedness of 3D water wave problem with vorticity. Zbl 1134.35084
Zhang, Ping; Zhang, Zhi-Fei
2007
The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions. Zbl 1105.76008
Chen, Yemin; Zhang, Ping
2006
Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain. Zbl 1079.76016
Lin, Fanghua; Zhang, Ping
2006
Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations. Zbl 1123.35071
Lin, Tai-Chia; Zhang, Ping
2006
Weak solutions to a nonlinear variational wave equation and some related problems. Zbl 1164.35330
Zhang, Ping
2006
High-frequency limit of the Helmholtz equation with variable refraction index. Zbl 1141.35016
Wang, Xue Ping; Zhang, Ping
2006
On hydrodynamics of viscoelastic fluids. Zbl 1076.76006
Lin, Fang-Hua; Liu, Chun; Zhang, Ping
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
Weak solutions to a nonlinear variational wave equation with general data. Zbl 1082.35129
Zhang, Ping; Zheng, Yuxi
2005
Global solutions to vortex density equations arising from sup-conductivity. Zbl 1070.35036
2005
On the global weak solutions to a variational wave equation. Zbl 1085.35111
Zhang, Ping; Zheng, Yuxi
2005
An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation. Zbl 1112.74311
Zhang, P.; Jiang, H.; Huang, Y.; Geubelle, P. H.; Hwang, K. C.
2004
On the global existence of weak solutions to a nonlinear variational wave equation. Zbl 1068.35074
Zhang, Ping; Zheng, Yuxi
2004
Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids. Zbl 1109.35088
Jiang, Song; Zhang, Ping
2003
Weak solutions to a nonlinear variational wave equation. Zbl 1029.35173
Zhang, Ping; Zheng, Yuxi
2003
Existence of weak solutions to some vortex density models. Zbl 1044.35085
Du, Qiang; Zhang, Ping
2003
Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas. Zbl 1055.76048
Jiang, Song; Zhang, Ping
2003
On the uniqueness and large time behavior of the weak solutions to a shallow water equation. Zbl 1034.35115
Xin, Zhouping; Zhang, Ping
2002
The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials. Zbl 1049.74753
Zhang, P.; Huang, Y.; Geubelle, P. H.; Klein, P. A.; Hwang, K. C.
2002
Fracture nucleation in single-wall carbon nanotubes under tension: a continuum analysis incorporating interatomic potentials. Zbl 1110.74793
Zhang, P.; Huang, Y.; Gao, H.; Hwang, K. C.
2002
Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors. Zbl 1004.82018
Hsiao, Ling; Jiang, Song; Zhang, Ping
2002
On the second-order asymptotic equation of a variational wave equation. Zbl 1006.35005
Zhang, Ping; Zheng, Yuxi
2002
Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data. Zbl 1033.35084
Jiang, Song; Zhang, Ping
2002
On the hydrodynamic limit of Ginzburg-Landau wave vortices. Zbl 1033.35089
Lin, Fanghua; Zhang, Ping
2002
On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations. Zbl 0980.35126
Jiang, Song; Zhang, Ping
2001
...and 12 more Documents
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#### Cited by 1,304 Authors

 74 Yin, Zhaoyang 54 Zhang, Ping 36 Zhang, Zhifei 28 Zhang, Ting 27 Li, Yongsheng 24 Zhu, Changjiang 22 Zhai, Xiaoping 21 Fang, Daoyuan 20 Jiang, Song 19 Xin, Zhouping 18 Guo, Zhengguang 18 Yan, Wei 17 Jiang, Fei 17 Lai, Shaoyong 17 Paicu, Marius 16 Masmoudi, Nader 15 Guo, Zhenhua 14 Lian, Ruxu 13 Guan, Chunxia 13 Gui, Guilong 13 Hu, Qiaoyi 13 Hu, Xianpeng 13 Lei, Zhen 13 Tian, Lixin 13 Wen, Huanyao 13 Wu, Jiahong 13 Yao, Lei 12 Jiu, Quansen 12 Qiao, Zhijun 12 Tan, Zhong 12 Wang, Dehua 12 Xu, Jiang 12 Yan, Kai 12 Yang, Tong 12 Zhou, Shouming 12 Zhou, Yong 12 Zi, Ruizhao 11 Chen, Geng 10 Bressan, Alberto 10 Holden, Helge 9 Abidi, Hammadi 9 Ding, Shijin 9 Guo, Boling 9 Hu, Yanbo 9 Huang, Yonggang Young 9 Li, Hailiang 9 Luo, Wei 9 Shen, Chunyu 9 Tang, Tong 9 Xu, Li 9 Yao, Zhengan 9 Zheng, Yuxi 9 Zhou, Yi 8 Danchin, Raphaël 8 Dong, Boqing 8 Fan, Jishan 8 Huang, Lan 8 Lin, Fang Hua 8 Liu, Qiao 8 Liu, Yue 8 Skalák, Zdeněk 8 Wang, Chao 8 Wu, Yonghong 8 Yu, Haibo 8 Zhang, Peixin 8 Zhang, Shuanghu 7 Bian, Dongfen 7 Cordoba, Diego 7 Gancedo, Francisco 7 Gao, Hongjun 7 Huang, Jingchi 7 Jiang, Hanqing 7 Li, Jinlu 7 Li, Zilai 7 Liu, Cheng-Jie 7 Liu, Zuhan 7 Wang, Weiwei 7 Xie, Feng 7 Zhang, Guodong 7 Zhong, Xin 6 Alazard, Thomas 6 Chemin, Jean-Yves 6 Coclite, Giuseppe Maria 6 Fefferman, Charles Louis 6 Gallagher, Isabelle 6 Guo, Yunxi 6 Han, Bin 6 Hao, Chengchun 6 He, Huijun 6 Huang, Bingkang 6 Hwang, Keum Cheol 6 Karlsen, Kenneth Hvistendahl 6 Li, Yang 6 Liu, Chun 6 Liu, Yanlin 6 Luo, Tao 6 Mu, Chunlai 6 Mucha, Piotr Bogusław 6 Ni, Lidiao 6 Park, Harold S. ...and 1,204 more Authors
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#### Cited in 172 Serials

 179 Journal of Differential Equations 79 Journal of Mathematical Analysis and Applications 74 Archive for Rational Mechanics and Analysis 67 Journal of Mathematical Physics 61 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 57 Nonlinear Analysis. Real World Applications 56 Discrete and Continuous Dynamical Systems 32 Communications in Mathematical Physics 32 SIAM Journal on Mathematical Analysis 31 Journal of Mathematical Fluid Mechanics 30 Journal of Functional Analysis 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Mathematical Methods in the Applied Sciences 20 Applicable Analysis 20 Computer Methods in Applied Mechanics and Engineering 20 Acta Applicandae Mathematicae 20 Science China. Mathematics 18 Advances in Mathematics 17 Abstract and Applied Analysis 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Applied Mathematics Letters 16 Communications on Pure and Applied Analysis 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Communications on Pure and Applied Mathematics 14 Journal of the Mechanics and Physics of Solids 13 Computers & Mathematics with Applications 13 Monatshefte für Mathematik 13 Communications in Partial Differential Equations 13 Journal of Hyperbolic Differential Equations 13 Boundary Value Problems 12 Acta Mathematica Sinica. English Series 11 Chinese Annals of Mathematics. Series B 10 Nonlinearity 9 Analysis and Applications (Singapore) 8 Discrete and Continuous Dynamical Systems. Series B 7 International Journal for Numerical Methods in Engineering 7 Physica D 7 Acta Mathematicae Applicatae Sinica. English Series 7 Kinetic and Related Models 6 Quarterly of Applied Mathematics 6 Calculus of Variations and Partial Differential Equations 6 Journal of Evolution Equations 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Discrete and Continuous Dynamical Systems. Series S 5 Inventiones Mathematicae 5 Journal of Nonlinear Mathematical Physics 5 Annals of PDE 4 Journal of Computational Physics 4 Applied Mathematics and Optimization 4 Journal of Computational and Applied Mathematics 4 Mathematische Nachrichten 4 Meccanica 4 Applied Numerical Mathematics 4 NoDEA. Nonlinear Differential Equations and Applications 4 Engineering Analysis with Boundary Elements 4 Journal of Difference Equations and Applications 4 Journal of Inequalities and Applications 4 Journal of Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Analysis & PDE 3 Acta Mechanica 3 Applied Mathematics and Computation 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Mathematical Physics, Analysis and Geometry 3 Discrete Dynamics in Nature and Society 3 European Journal of Mechanics. A. Solids 3 Annals of Mathematics. Second Series 3 Frontiers of Mathematics in China 3 Advances in Mathematical Physics 2 Modern Physics Letters B 2 International Journal of Plasticity 2 International Journal of Solids and Structures 2 Journal of Engineering Mathematics 2 Mathematics of Computation 2 Annales Polonici Mathematici 2 Osaka Journal of Mathematics 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Mechanics. (English Edition) 2 Revista Matemática Iberoamericana 2 Computational Mechanics 2 Journal of Scientific Computing 2 Applications of Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Mathematics. Series B (English Edition) 2 Mathematics and Mechanics of Solids 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Communications in Contemporary Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Function Spaces and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Function Spaces 2 Open Mathematics ...and 72 more Serials
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#### Cited in 36 Fields

 1,229 Partial differential equations (35-XX) 890 Fluid mechanics (76-XX) 102 Mechanics of deformable solids (74-XX) 82 Statistical mechanics, structure of matter (82-XX) 57 Harmonic analysis on Euclidean spaces (42-XX) 56 Dynamical systems and ergodic theory (37-XX) 42 Numerical analysis (65-XX) 22 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 19 Classical thermodynamics, heat transfer (80-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Systems theory; control (93-XX) 14 Quantum theory (81-XX) 12 Probability theory and stochastic processes (60-XX) 12 Geophysics (86-XX) 10 Functions of a complex variable (30-XX) 10 Astronomy and astrophysics (85-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operator theory (47-XX) 6 Functional analysis (46-XX) 5 Real functions (26-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)