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## Paicu, Marius

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 Author ID: paicu.marius Published as: Paicu, M.; Paicu, Marius External Links: MGP
 Documents Indexed: 46 Publications since 2003
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#### Co-Authors

 6 single-authored 12 Zhang, Ping 5 Danchin, Raphaël 4 Huang, Jingchi 4 Raugel, Geneviève 4 Zhang, Zhifei 3 Abidi, Hammadi 2 Chemin, Jean-Yves 2 Gallagher, Isabelle 2 Zarnescu, Arghir Dani 2 Zhu, Ning 1 Busuioc, Adriana Valentina 1 De Anna, Francesco 1 Del Santo, Daniele 1 Fanelli, Francesco 1 Hamza, Meer A. 1 Iftimie, Dragoş 1 Jäh, Christian P. 1 Liu, Yanlin 1 Majdoub, Mohamed 1 Marchand, Fabien 1 Rekalo, Andrey M. 1 Vicol, Vlad C.
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#### Serials

 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 2 Nonlinearity 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Physica D 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Discrete and Continuous Dynamical Systems 2 Analysis & PDE 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Mathematical Fluid Mechanics 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Science China. Mathematics
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#### Fields

 46 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX)

#### Citations contained in zbMATH

39 Publications have been cited 861 times in 489 Documents Cited by Year
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
2011
Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. Zbl 1186.35157
Danchin, Raphaël; Paicu, Marius
2009
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system. Zbl 1236.35112
Paicu, Marius; Zhang, Ping
2012
Anisotropic Navier-Stokes equation in critical spaces. Zbl 1110.35060
Paicu, Marius
2005
Global existence for an inhomogeneous fluid. Zbl 1122.35091
2007
The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity. Zbl 1162.35063
Danchin, Raphaël; Paicu, Marius
2008
Global regularity for some classes of large solutions to the Navier-Stokes equations. Zbl 1229.35168
Chemin, Jean-Yves; Gallagher, Isabelle; Paicu, Marius
2011
Global existence for the magnetohydrodynamic system in critical spaces. Zbl 1148.35066
2008
Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density. Zbl 1314.35086
Paicu, Marius; Zhang, Ping; Zhang, Zhifei
2013
Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces. Zbl 1237.35129
Paicu, Marius; Zhang, Ping
2011
Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system. Zbl 1315.76017
Paicu, Marius; Zarnescu, Arghir
2012
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
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces. Zbl 1143.76432
Danchin, Raphaël; Paicu, Marius
2008
Global existence and regularity for the full coupled Navier-Stokes and $$Q$$-tensor system. Zbl 1233.35160
Paicu, Marius; Zarnescu, Arghir
2011
Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity. Zbl 1290.35184
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
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
Periodic Navier-Stokes equation without viscosity in one direction. Zbl 1115.35101
Paicu, Marius
2005
Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations. Zbl 1162.76016
Gallagher, Isabelle; Paicu, Marius
2009
Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations. Zbl 1235.35225
Paicu, Marius; Raugel, Geneviève; Rekalo, Andrey
2012
Analyticity and gevrey-class regularity for the second-grade fluid equations. Zbl 1270.35370
2011
Global regularity for the Navier-Stokes equations with some classes of large initial data. Zbl 1242.35187
Paicu, Marius; Zhang, Zhifei
2011
A hyperbolic perturbation of the Navier-Stokes equations. Zbl 1221.35284
Paicu, Marius; Raugel, Geneviève
2007
Global existence and uniqueness result of a class of third-grade fluid equations. Zbl 1114.76004
Hamza, M.; Paicu, M.
2007
Asymptotic study of rapidly rotating anisotropic fluids in the periodic case. Zbl 1085.76071
Paicu, Marius
2004
Decay estimates of global solution to 2D incompressible. Zbl 1304.35492
Huang, J.; Paicu, Marius
2014
Global well-posedness for 3D Navier-Stokes equations with ill-prepared initial data. Zbl 1291.35191
Paicu, Marius; Zhang, Zhifei
2014
Busuioc, Adriana Valentina; Iftimie, Dragoş; Paicu, Marius
2008
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density. Zbl 1273.35211
Huang, Jingchi; Paicu, Marius; Zhang, Ping
2013
Uniform local existence for inhomogeneous rotating fluid equations. Zbl 1160.76052
Majdoub, Mohamed; Paicu, Marius
2009
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2020
Backward uniqueness for parabolic operators with non-Lipschitz coefficients. Zbl 1334.35074
Del Santo, Daniele; Jäh, Christian; Paicu, Marius
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
Dynamics of second grade fluids: the Lagrangian approach. Zbl 1318.35086
Paicu, M.; Raugel, G.
2013
Global existence in the energy space of the solutions of a non-Newtonian fluid. Zbl 1143.76359
Paicu, Marius
2008
Remarks on the uniqueness for the three-dimensional Navier-Stokes system. Zbl 1110.35059
Marchand, Fabien; Paicu, Marius
2007
Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity. Zbl 1439.35375
Paicu, Marius; Zhang, Ping
2020
Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction. Zbl 1431.35107
Paicu, Marius; Zhang, Ping
2019
On the global well-posedness of 3-D Navier-Stokes equations with vanishing horizontal viscosity. Zbl 1449.35347
2018
Anisotropic Navier-Stokes equations in a bounded cylindrical domain. Zbl 1185.35172
Paicu, Marius; Raugel, Geneviève
2009
A well-posedness result for viscous compressible fluids with only bounded density. Zbl 1434.35046
Danchin, Raphaël; Fanelli, Francesco; Paicu, Marius
2020
Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity. Zbl 1439.35375
Paicu, Marius; Zhang, Ping
2020
Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction. Zbl 1431.35107
Paicu, Marius; Zhang, Ping
2019
On the global well-posedness of 3-D Navier-Stokes equations with vanishing horizontal viscosity. Zbl 1449.35347
2018
Backward uniqueness for parabolic operators with non-Lipschitz coefficients. Zbl 1334.35074
Del Santo, Daniele; Jäh, Christian; Paicu, Marius
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 large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable. Zbl 1317.35171
Chemin, Jean-Yves; Paicu, Marius; Zhang, Ping
2014
Decay estimates of global solution to 2D incompressible. Zbl 1304.35492
Huang, J.; Paicu, Marius
2014
Global well-posedness for 3D Navier-Stokes equations with ill-prepared initial data. Zbl 1291.35191
Paicu, Marius; Zhang, Zhifei
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
Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity. Zbl 1290.35184
Huang, Jingchi; Paicu, Marius; Zhang, Ping
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
Dynamics of second grade fluids: the Lagrangian approach. Zbl 1318.35086
Paicu, M.; Raugel, G.
2013
Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system. Zbl 1236.35112
Paicu, Marius; Zhang, Ping
2012
Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system. Zbl 1315.76017
Paicu, Marius; Zarnescu, Arghir
2012
Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations. Zbl 1235.35225
Paicu, Marius; Raugel, Geneviève; Rekalo, Andrey
2012
Global existence results for the anisotropic Boussinesq system in dimension two. Zbl 1223.35249
Danchin, Raphaël; Paicu, Marius
2011
Global regularity for some classes of large solutions to the Navier-Stokes equations. Zbl 1229.35168
Chemin, Jean-Yves; Gallagher, Isabelle; Paicu, Marius
2011
Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces. Zbl 1237.35129
Paicu, Marius; Zhang, Ping
2011
Global existence and regularity for the full coupled Navier-Stokes and $$Q$$-tensor system. Zbl 1233.35160
Paicu, Marius; Zarnescu, Arghir
2011
Analyticity and gevrey-class regularity for the second-grade fluid equations. Zbl 1270.35370
2011
Global regularity for the Navier-Stokes equations with some classes of large initial data. Zbl 1242.35187
Paicu, Marius; Zhang, Zhifei
2011
Global well-posedness issues for the inviscid Boussinesq system with Yudovich’s type data. Zbl 1186.35157
Danchin, Raphaël; Paicu, Marius
2009
Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations. Zbl 1162.76016
Gallagher, Isabelle; Paicu, Marius
2009
Uniform local existence for inhomogeneous rotating fluid equations. Zbl 1160.76052
Majdoub, Mohamed; Paicu, Marius
2009
Anisotropic Navier-Stokes equations in a bounded cylindrical domain. Zbl 1185.35172
Paicu, Marius; Raugel, Geneviève
2009
The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity. Zbl 1162.35063
Danchin, Raphaël; Paicu, Marius
2008
Global existence for the magnetohydrodynamic system in critical spaces. Zbl 1148.35066
2008
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces. Zbl 1143.76432
Danchin, Raphaël; Paicu, Marius
2008
Busuioc, Adriana Valentina; Iftimie, Dragoş; Paicu, Marius
2008
Global existence in the energy space of the solutions of a non-Newtonian fluid. Zbl 1143.76359
Paicu, Marius
2008
Global existence for an inhomogeneous fluid. Zbl 1122.35091
2007
A hyperbolic perturbation of the Navier-Stokes equations. Zbl 1221.35284
Paicu, Marius; Raugel, Geneviève
2007
Global existence and uniqueness result of a class of third-grade fluid equations. Zbl 1114.76004
Hamza, M.; Paicu, M.
2007
Remarks on the uniqueness for the three-dimensional Navier-Stokes system. Zbl 1110.35059
Marchand, Fabien; Paicu, Marius
2007
Anisotropic Navier-Stokes equation in critical spaces. Zbl 1110.35060
Paicu, Marius
2005
Periodic Navier-Stokes equation without viscosity in one direction. Zbl 1115.35101
Paicu, Marius
2005
Asymptotic study of rapidly rotating anisotropic fluids in the periodic case. Zbl 1085.76071
Paicu, Marius
2004
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#### Cited by 474 Authors

 36 Zhang, Ping 24 Paicu, Marius 23 Wu, Jiahong 22 Ye, Zhuan 19 Zhai, Xiaoping 16 Zhang, Zhifei 15 Danchin, Raphaël 15 Zhang, Ting 13 Li, Yongsheng 13 Xu, Xiaojing 10 Abidi, Hammadi 10 Cao, Chongsheng 9 Fang, Daoyuan 8 Fan, Jishan 8 Gui, Guilong 8 Titi, Edriss Saleh 7 Chemin, Jean-Yves 7 Mucha, Piotr Bogusław 7 Xu, Xiang 7 Yan, Wei 6 De Anna, Francesco 6 Gallagher, Isabelle 6 Hmidi, Taoufik 6 Huang, Jingchi 6 Liu, Qiao 6 Liu, Yanlin 6 Miao, Changxing 6 Xue, Liutang 6 Yu, Haibo 6 Zarnescu, Arghir Dani 6 Zhang, Peixin 6 Zhong, Xin 5 Haspot, Boris 5 Jiu, Quansen 5 Kukavica, Igor 5 Qin, Yuming 5 Rousset, Frédéric 5 Tan, Zhong 5 Wang, Wei 5 Yin, Zhaoyang 5 Zheng, Xiaoxin 5 Zhou, Yi 4 Adhikari, Dhanapati 4 Bahouri, Hajer 4 Bian, Dongfen 4 Charve, Frédéric 4 Chen, Fei 4 Chen, Qionglei 4 Fanelli, Francesco 4 Gancedo, Francisco 4 Houamed, Haroune 4 Hu, Weiwei 4 Larios, Adam 4 Li, Fucai 4 Li, Jinkai 4 Lin, Fang Hua 4 Liu, Jitao 4 Ngo, Van-Sang 4 Rocca, Elisabetta 4 Scrobogna, Stefano 4 Vicol, Vlad C. 4 Wu, Hao 4 Xu, Fuyi 4 Xu, Huan 4 Yang, Minghua 4 Ye, Zhuan 4 Yuan, Jia 4 Zerguine, Mohamed 4 Zhang, Jianlin 4 Zhao, Jihong 4 Zhou, Yong 3 Chikami, Noboru 3 Dai, Mimi 3 García-Juárez, Eduardo 3 Han, Bin 3 Liao, Xian 3 Lü, Boqiang 3 Ma, Liangliang 3 Masmoudi, Nader 3 Nakamura, Gen 3 Ogawa, Takayoshi 3 Ozawa, Tohru 3 Schonbek, Maria Elena 3 Shang, Haifeng 3 Su, Xing 3 Sun, Jinyi 3 Wang, Chao 3 Xu, Jiang 3 Yamazaki, Kazuo 3 Zhai, Cuili 3 Zhang, Qian 3 Zhang, Rongfang 3 Zhao, Kun 3 Zhou, Daoguo 3 Zhu, Mingxuan 3 Zhu, Ning 3 Ziane, Mohammed 2 Bedrossian, Jacob 2 Bessaih, Hakima 2 Bianchini, Roberta ...and 374 more Authors
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#### Cited in 98 Serials

 63 Journal of Differential Equations 31 Archive for Rational Mechanics and Analysis 24 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Mathematical Fluid Mechanics 19 Discrete and Continuous Dynamical Systems 17 Journal of Functional Analysis 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Mathematical Methods in the Applied Sciences 14 Journal of Mathematical Physics 13 Nonlinear Analysis. Real World Applications 11 Communications in Mathematical Physics 11 Acta Applicandae Mathematicae 10 Advances in Mathematics 10 SIAM Journal on Mathematical Analysis 8 Computers & Mathematics with Applications 8 Physica D 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Applicable Analysis 7 Communications on Pure and Applied Mathematics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Communications on Pure and Applied Analysis 6 Analysis and Applications (Singapore) 6 Science China. Mathematics 6 Annals of PDE 5 Applied Mathematics Letters 5 Communications in Partial Differential Equations 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Dynamics and Differential Equations 4 Journal of Nonlinear Science 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Boundary Value Problems 3 Nonlinearity 3 Applied Mathematics and Computation 3 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 Kinetic and Related Models 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Asymptotic Analysis 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Physics, Analysis and Geometry 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of the Institute of Mathematics of Jussieu 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal de l’École Polytechnique – Mathématiques 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal d’Analyse Mathématique 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Annales Polonici Mathematici 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Numerische Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Applied Mathematics. Series B (English Edition) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Complexity 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Journal of Geometric Mechanics 1 Communications in Mathematics and Statistics 1 Evolution Equations and Control Theory 1 International Journal of Analysis 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics 1 Journal of Elliptic and Parabolic Equations 1 Tunisian Journal of Mathematics
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#### Cited in 26 Fields

 469 Partial differential equations (35-XX) 429 Fluid mechanics (76-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 22 Geophysics (86-XX) 12 Real functions (26-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX)