zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 25 Publications since 2004
all top 5

Co-Authors

 4 single-authored 9 Zhang, Ping 5 Hmidi, Taoufik 4 Gui, Guilong 3 Paicu, Marius 2 Keraani, Sahbi 1 Sakrani, Saoussen
all top 5

Serials

 2 Communications on Pure and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Archive for Rational Mechanics and Analysis 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Sciences 1 Science China. Mathematics

Fields

 22 Partial differential equations (35-XX) 22 Fluid mechanics (76-XX) 5 Harmonic analysis on Euclidean spaces (42-XX)

Citations contained in zbMATH Open

21 Publications have been cited 560 times in 343 Documents Cited by Year
On the global well-posedness for Boussinesq system. Zbl 1111.35032
Abidi, H.; Hmidi, T.
2007
Navier-Stokes equation with variable density and viscosity in critical space. Zbl 1175.35099
2007
Global existence for an inhomogeneous fluid. Zbl 1122.35091
2007
On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces. Zbl 1314.76021
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
2012
Global existence for the magnetohydrodynamic system in critical spaces. Zbl 1148.35066
2008
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
On the global well-posedness of the critical quasi-geostrophic equation. Zbl 1157.76054
2008
Existence results in critical spaces for a system of inhomogeneous MHD. Zbl 1175.76039
2007
On the global solution of a 3-D MHD system with initial data near equilibrium. Zbl 1372.35229
2017
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 regularity of axisymmetric Navier-Stokes-Boussinesq system. Zbl 1208.35107
Abidi, Hammadi; Hmidi, Taoufik; Keraani, Sahbi
2011
Optimal bounds for the inviscid limit of Navier-Stokes equations. Zbl 1092.35075
Abidi, H.; Danchin, R.
2004
Regularity results of axisymmetric solutions for the Navier-Stokes system. Zbl 1159.35052
2008
On the global well-posedness for the axisymmetric Euler equations. Zbl 1398.35159
Abidi, Hammadi; Hmidi, Taoufik; Keraani, Sahbi
2010
On the global well-posedness of 2-D Boussinesq system with variable viscosity. Zbl 1353.35220
2017
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
On the uniqueness for the Boussinesq system with non linear diffusion. Zbl 1156.35074
2009
Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system. Zbl 1333.35154
2015
On the global well-posedness of 3-D Navier-Stokes equations with vanishing horizontal viscosity. Zbl 1449.35347
2018
Existence and uniqueness for an inhomogeneous fluid. Zbl 1099.35092
2006
On the global well-posedness of 3-D Navier-Stokes equations with vanishing horizontal viscosity. Zbl 1449.35347
2018
On the global solution of a 3-D MHD system with initial data near equilibrium. Zbl 1372.35229
2017
On the global well-posedness of 2-D Boussinesq system with variable viscosity. Zbl 1353.35220
2017
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
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 wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces. Zbl 1314.76021
Abidi, Hammadi; Gui, Guilong; Zhang, Ping
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
On the global regularity of axisymmetric Navier-Stokes-Boussinesq system. Zbl 1208.35107
Abidi, Hammadi; Hmidi, Taoufik; Keraani, Sahbi
2011
On the global well-posedness for the axisymmetric Euler equations. Zbl 1398.35159
Abidi, Hammadi; Hmidi, Taoufik; Keraani, Sahbi
2010
On the uniqueness for the Boussinesq system with non linear diffusion. Zbl 1156.35074
2009
Global existence for the magnetohydrodynamic system in critical spaces. Zbl 1148.35066
2008
On the global well-posedness of the critical quasi-geostrophic equation. Zbl 1157.76054
2008
Regularity results of axisymmetric solutions for the Navier-Stokes system. Zbl 1159.35052
2008
On the global well-posedness for Boussinesq system. Zbl 1111.35032
Abidi, H.; Hmidi, T.
2007
Navier-Stokes equation with variable density and viscosity in critical space. Zbl 1175.35099
2007
Global existence for an inhomogeneous fluid. Zbl 1122.35091
2007
Existence results in critical spaces for a system of inhomogeneous MHD. Zbl 1175.76039
2007
Existence and uniqueness for an inhomogeneous fluid. Zbl 1099.35092
2006
Optimal bounds for the inviscid limit of Navier-Stokes equations. Zbl 1092.35075
Abidi, H.; Danchin, R.
2004
all top 5

Cited by 336 Authors

 23 Zhang, Ping 18 Zhai, Xiaoping 14 Abidi, Hammadi 14 Wu, Jiahong 12 Li, Yongsheng 12 Paicu, Marius 11 Fan, Jishan 10 Zhang, Zhifei 8 Danchin, Raphaël 8 Yao, Zhengan 7 Gui, Guilong 7 Hmidi, Taoufik 7 Miao, Changxing 7 Qiu, Hua 7 Xu, Jiang 7 Yan, Wei 7 Zhang, Ting 6 Bian, Dongfen 6 Constantin, Peter 6 Fang, Daoyuan 6 Qin, Yuming 6 Ye, Zhuan 6 Yu, Haibo 6 Zhang, Peixin 5 Chen, Fei 5 Du, Yi 5 Haspot, Boris 5 Huang, Jingchi 5 Nakamura, Gen 4 Charve, Frédéric 4 Jiang, Fei 4 Jiang, Song 4 Li, Fucai 4 Liu, Qiao 4 Lü, Boqiang 4 Rousset, Frédéric 4 Su, Xing 4 Tan, Zhong 4 Xu, Huan 4 Xu, Xiaojing 4 Xue, Liutang 4 Yin, Zhaoyang 4 Zerguine, Mohamed 4 Zhang, Jianlin 4 Zhang, Qian 4 Zheng, Xiaoxin 3 Biswas, Animikh 3 Cao, Chongsheng 3 Chae, Dongho 3 Chen, Qionglei 3 Chen, Zhimin 3 Dong, Boqing 3 Dong, Hongjie 3 Gancedo, Francisco 3 Guo, Boling 3 Houamed, Haroune 3 Jiu, Quansen 3 Li, Dong 3 Li, Zilai 3 Liao, Xian 3 Pan, Xinghong 3 Sulaiman, Samira Alamin 3 Wang, Chao 3 Wang, Yun 3 Wu, Gang 3 Xiang, Zhaoyin 3 Ye, Zhuan 3 Yu, Yanghai 3 Yuan, Jia 3 Zhai, Cuili 3 Zhao, Kun 3 Zhao, Weiren 3 Zhou, Yi 3 Zhou, Yong 3 Zhu, Mingxuan 2 Adhikari, Dhanapati 2 Bae, Hantaek 2 Chen, Hui 2 Chikami, Noboru 2 Choi, Jongkeun 2 Deng, Wen 2 Gala, Sadek 2 Gallay, Thierry 2 García-Juárez, Eduardo 2 Guo, Zhenhua 2 Hadadifard, Fazel 2 Han, Bin 2 He, Yigang 2 Huang, Xiangdi 2 Kawashima, Shuichi 2 Keraani, Sahbi 2 Kim, Doyoon 2 Lazar, Omar 2 Lei, Zhen 2 Li, Shan 2 Lin, Hongxia 2 Liu, Jitao 2 Liu, Yanlin 2 Manna, Utpal 2 Masmoudi, Nader ...and 236 more Authors
all top 5

Cited in 81 Serials

 48 Journal of Differential Equations 21 Journal of Mathematical Analysis and Applications 17 Archive for Rational Mechanics and Analysis 14 Mathematical Methods in the Applied Sciences 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Mathematical Fluid Mechanics 12 Journal of Mathematical Physics 11 Discrete and Continuous Dynamical Systems 10 Journal of Functional Analysis 9 Applied Mathematics Letters 8 Acta Applicandae Mathematicae 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Nonlinear Analysis. Real World Applications 7 Communications in Mathematical Physics 7 Boundary Value Problems 6 Computers & Mathematics with Applications 6 Communications on Pure and Applied Mathematics 6 Advances in Mathematics 6 Science China. Mathematics 5 Applicable Analysis 5 Physica D 5 SIAM Journal on Mathematical Analysis 5 Communications on Pure and Applied Analysis 3 Chinese Annals of Mathematics. Series B 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 3 Calculus of Variations and Partial Differential Equations 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Dynamics and Differential Equations 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Statistical Physics 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Physics, Analysis and Geometry 1 Communications in Nonlinear Science and Numerical Simulation 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis and Applications (Singapore) 1 Journal of Hyperbolic Differential Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Frontiers of Mathematics in China 1 Kinetic and Related Models 1 Analysis & PDE 1 Confluentes Mathematici 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of Geometric Mechanics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Function Spaces 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Elliptic and Parabolic Equations
all top 5

Cited in 22 Fields

 325 Partial differential equations (35-XX) 297 Fluid mechanics (76-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 20 Geophysics (86-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Functions of a complex variable (30-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX)