EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 34 2 (2000) 315-335 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Stability to the Incompressible Navier-Stokes Equations

Guilong Gui
Springer Theses, Stability to the Incompressible Navier-Stokes Equations 1 (2013)
DOI: 10.1007/978-3-642-36028-2_1
See this article

Asymptotics and Lower Bound for the Lifespan of Solutions to the Primitive Equations

Frédéric Charve
Acta Applicandae Mathematicae 158 (1) 11 (2018)
DOI: 10.1007/s10440-018-0172-3
See this article

Advances in Mathematical Fluid Mechanics

Luigi C. Berselli and Franco Flandoli
Advances in Mathematical Fluid Mechanics 55 (2009)
DOI: 10.1007/978-3-642-04068-9_5
See this article

Derivation of limit equations for a singular perturbation of a 3D periodic Boussinesq system

Stefano Scrobogna
Discrete & Continuous Dynamical Systems - A 37 (12) 5979 (2017)
DOI: 10.3934/dcds.2017259
See this article

Stability to the Incompressible Navier-Stokes Equations

Guilong Gui
Springer Theses, Stability to the Incompressible Navier-Stokes Equations 25 (2013)
DOI: 10.1007/978-3-642-36028-2_2
See this article

A deterministic model for the propagation of turbulent oscillations

C. Cheverry
Journal of Differential Equations 247 (9) 2637 (2009)
DOI: 10.1016/j.jde.2009.08.009
See this article

Global regularity for the Navier–Stokes equations with some classes of large initial data

Marius Paicu and Zhifei Zhang
Analysis & PDE 4 (1) 95 (2011)
DOI: 10.2140/apde.2011.4.95
See this article

Global regularity for the 3D axisymmetric MHD Equations with horizontal dissipation and vertical magnetic diffusion

Quansen Jiu and Jitao Liu
Discrete & Continuous Dynamical Systems - A 35 (1) 301 (2015)
DOI: 10.3934/dcds.2015.35.301
See this article

Damping effects in boundary layers for rotating fluids with small viscosity

Van-Sang Ngo
Zeitschrift für angewandte Mathematik und Physik 71 (2) (2020)
DOI: 10.1007/s00033-020-1286-9
See this article

Global wellposed problem for the 3-D incompressible anisotropic Navier–Stokes equations

Ting Zhang and Daoyuan Fang
Journal de Mathématiques Pures et Appliquées 90 (5) 413 (2008)
DOI: 10.1016/j.matpur.2008.06.008
See this article

Generalized Navier–Stokes equations with nonlinear anisotropic viscosity

H. B. de Oliveira
Analysis and Applications 17 (06) 977 (2019)
DOI: 10.1142/S021953051950009X
See this article

Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data

Frédéric Charve
Pure and Applied Analysis 2 (2) 477 (2020)
DOI: 10.2140/paa.2020.2.477
See this article

Global large solutions to 3-D inhomogeneous Navier–Stokes system with one slow variable

Jean-Yves Chemin, Marius Paicu and Ping Zhang
Journal of Differential Equations 256 (1) 223 (2014)
DOI: 10.1016/j.jde.2013.09.004
See this article

Evolution problems of Navier–Stokes type with anisotropic diffusion

S. N. Antontsev and H. B. de Oliveira
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 110 (2) 729 (2016)
DOI: 10.1007/s13398-015-0262-2
See this article

Étude asymptotique pour les fluides anisotropes en rotation rapide dans le cas périodique

Marius Paicu
Journal de Mathématiques Pures et Appliquées 83 (2) 163 (2004)
DOI: 10.1016/j.matpur.2003.10.001
See this article

Vanishing vertical viscosity limit of anisotropic Navier–Stokes equation with no-slip boundary condition

Tao Tao
Journal of Differential Equations 265 (9) 4283 (2018)
DOI: 10.1016/j.jde.2018.06.001
See this article

Solutions in mixed-norm Sobolev–Lorentz spaces to the initial value problem for the Navier–Stokes equations

D.Q. Khai and N.M. Tri
Journal of Mathematical Analysis and Applications 417 (2) 819 (2014)
DOI: 10.1016/j.jmaa.2014.03.068
See this article

Blow-up criteria for the 3D Bénard system in Besov spaces

Liangliang Ma and Lei Zhang
Journal of Inequalities and Applications 2019 (1) (2019)
DOI: 10.1186/s13660-019-2011-0
See this article

On the Global Wellposedness to the 3-D Incompressible Anisotropic Navier-Stokes Equations

Jean-Yves Chemin and Ping Zhang
Communications in Mathematical Physics 272 (2) 529 (2007)
DOI: 10.1007/s00220-007-0236-0
See this article

GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO

RAPHAËL DANCHIN and MARIUS PAICU
Mathematical Models and Methods in Applied Sciences 21 (03) 421 (2011)
DOI: 10.1142/S0218202511005106
See this article

On the Striated Regularity for the 2D Anisotropic Boussinesq System

Marius Paicu and Ning Zhu
Journal of Nonlinear Science 30 (3) 1115 (2020)
DOI: 10.1007/s00332-019-09603-x
See this article

Existence and uniqueness of global solutions for the modified anisotropic 3D Navier−Stokes equations

Hakima Bessaih, Saber Trabelsi and Hamdi Zorgati
ESAIM: Mathematical Modelling and Numerical Analysis 50 (6) 1817 (2016)
DOI: 10.1051/m2an/2016008
See this article

Convergence results for MHD system

Ridha Selmi
International Journal of Mathematics and Mathematical Sciences 2006 1 (2006)
DOI: 10.1155/IJMMS/2006/28704
See this article

Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions

Dragoş Iftimie and Gabriela Planas
Nonlinearity 19 (4) 899 (2006)
DOI: 10.1088/0951-7715/19/4/007
See this article

Global regularity for some classes of large solutions to the Navier-Stokes equations

Jean-Yves Chemin, Isabelle Gallagher and Marius Paicu
Annals of Mathematics 173 (2) 983 (2011)
DOI: 10.4007/annals.2011.173.2.9
See this article

The inviscid limit of the incompressible anisotropic Navier–Stokes equations with the non-slip boundary condition

Cheng-Jie Liu and Ya-Guang Wang
Zeitschrift für angewandte Mathematik und Physik 64 (4) 1187 (2013)
DOI: 10.1007/s00033-012-0281-1
See this article

Global well–posedness for the 3D primitive equations in anisotropic framework

Daoyuan Fang and Bin Han
Journal of Mathematical Analysis and Applications 484 (2) 123714 (2020)
DOI: 10.1016/j.jmaa.2019.123714
See this article

Dispersive effects of weakly compressible and fast rotating inviscid fluids

Van-Sang Ngo and Stefano Scrobogna
Discrete & Continuous Dynamical Systems - A 38 (2) 749 (2018)
DOI: 10.3934/dcds.2018033
See this article

Quality and Reliability of Large-Eddy Simulations II

Luigi C. Berselli, Traian Iliescu and Tamay Özgökmen
ERCOFTAC Series, Quality and Reliability of Large-Eddy Simulations II 16 399 (2011)
DOI: 10.1007/978-94-007-0231-8_36
See this article

Global Wellposed Problem for the 3-D Incompressible Anisotropic Navier-Stokes Equations in an Anisotropic Space

Ting Zhang
Communications in Mathematical Physics 287 (1) 211 (2009)
DOI: 10.1007/s00220-008-0631-1
See this article

Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity

Siyu Liang, Ping Zhang and Rongchan Zhu
Journal of Differential Equations 275 473 (2021)
DOI: 10.1016/j.jde.2020.11.028
See this article

Global well-posedness for the 3D rotating Navier–Stokes equations with highly oscillating initial data

Qionglei Chen, Changxing Miao and Zhifei Zhang
Pacific Journal of Mathematics 262 (2) 263 (2013)
DOI: 10.2140/pjm.2013.262.263
See this article

Some remarks about the possible blow-up for the Navier-Stokes equations

Jean-Yves Chemin, Isabelle Gallagher and Ping Zhang
Communications in Partial Differential Equations 44 (12) 1387 (2019)
DOI: 10.1080/03605302.2019.1641725
See this article

Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System

Luigi C. Berselli, Paul F. Fischer, Traian Iliescu and Tamay M. Özgökmen
Journal of Scientific Computing 49 (1) 3 (2011)
DOI: 10.1007/s10915-011-9464-8
See this article

Asymptotics for the rotating fluids and primitive systems with large ill-prepared initial data in critical spaces

Frédéric Charve
Tunisian Journal of Mathematics 5 (1) 171 (2023)
DOI: 10.2140/tunis.2023.5.171
See this article

Stability to the global large solutions of 3-D Navier–Stokes equations

Guilong Gui and Ping Zhang
Advances in Mathematics 225 (3) 1248 (2010)
DOI: 10.1016/j.aim.2010.03.022
See this article

Global well-posedness for 3D Navier–Stokes equations with ill-prepared initial data

Marius Paicu and Zhifei Zhang
Journal of the Institute of Mathematics of Jussieu 13 (2) 395 (2014)
DOI: 10.1017/S1474748013000212
See this article

On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics with horizontal dissipation

Minggang Fei and Zhaoyin Xiang
Journal of Mathematical Physics 56 (5) 051504 (2015)
DOI: 10.1063/1.4921653
See this article

A Global Existence Result for the Anisotropic Rotating Magnetohydrodynamical Systems

Van-Sang Ngo
Acta Applicandae Mathematicae 150 (1) 1 (2017)
DOI: 10.1007/s10440-016-0092-z
See this article

Local existence with physical vacuum boundary condition to Euler equations with damping

Chao-Jiang Xu and Tong Yang
Journal of Differential Equations 210 (1) 217 (2005)
DOI: 10.1016/j.jde.2004.06.005
See this article

Analysis of a Large Eddy Simulation model based on anisotropic filtering

Luigi C. Berselli
Journal of Mathematical Analysis and Applications 386 (1) 149 (2012)
DOI: 10.1016/j.jmaa.2011.07.044
See this article

Uniform convergence for complex diffusion equation via a probabilistic approach and application

Olfa Bejaoui and Olfa Mahouachi
Mathematical Methods in the Applied Sciences 33 (15) 1856 (2010)
DOI: 10.1002/mma.1296
See this article

Examples of dispersive effects in non-viscous rotating fluids

Alexandre Dutrifoy
Journal de Mathématiques Pures et Appliquées 84 (3) 331 (2005)
DOI: 10.1016/j.matpur.2004.09.007
See this article

Global Small Solutions to an MHD-Type System: The Three-Dimensional Case

Fanghua Lin and Ping Zhang
Communications on Pure and Applied Mathematics 67 (4) 531 (2014)
DOI: 10.1002/cpa.21506
See this article

Advanced Computational Methods for Knowledge Engineering

Van-Sang Ngo
Studies in Computational Intelligence, Advanced Computational Methods for Knowledge Engineering 479 187 (2013)
DOI: 10.1007/978-3-319-00293-4_15
See this article

On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations

Gaocheng Yue and Chengkui Zhong
Discrete and Continuous Dynamical Systems 36 (10) 5801 (2016)
DOI: 10.3934/dcds.2016055
See this article

Rotation-dominant three-scale limit of the Cauchy problem to the inviscid rotating stratified Boussinesq equations

Pengcheng Mu and Zhengzhen Wei
Journal of Differential Equations 353 385 (2023)
DOI: 10.1016/j.jde.2023.02.002
See this article

A solution to parabolic system with the fractional Laplacian

Lin Fang and Dao-yuan Fang
Applied Mathematics-A Journal of Chinese Universities 24 (2) 184 (2009)
DOI: 10.1007/s11766-009-2084-5
See this article

Wellposedness for anisotropic rotating fluid equations

Dao-yuan Fang, Su-mei Wang and Ting Zhang
Applied Mathematics-A Journal of Chinese Universities 27 (1) 9 (2012)
DOI: 10.1007/s11766-012-2534-3
See this article

Moderate deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity

Bingguang Chen
Journal of Mathematical Analysis and Applications 522 (2) 126979 (2023)
DOI: 10.1016/j.jmaa.2022.126979
See this article

On 3D Navier–Stokes equations: Regularization and uniqueness by delays

Hakima Bessaih, María J. Garrido-Atienza and Björn Schmalfuß
Physica D: Nonlinear Phenomena 376-377 228 (2018)
DOI: 10.1016/j.physd.2018.03.004
See this article

A Uniqueness Result for the Navier--Stokes Equations with Vanishing Vertical Viscosity

Dragos Iftimie
SIAM Journal on Mathematical Analysis 33 (6) 1483 (2002)
DOI: 10.1137/S0036141000382126
See this article

On Two-Dimensional Magnetic Bénard Problem with Mixed Partial Viscosity

Jianfeng Cheng and Lili Du
Journal of Mathematical Fluid Mechanics 17 (4) 769 (2015)
DOI: 10.1007/s00021-015-0224-7
See this article

Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative

Marius Paicu and Ning Zhu
Nonlinearity 36 (5) 2403 (2023)
DOI: 10.1088/1361-6544/acc37a
See this article

Global strong solution to the 3D incompressible magnetohydrodynamic system in the scaling invariant Besov–Sobolev-type spaces

Haitao Ma, Xiaoping Zhai, Wei Yan and Yongsheng Li
Zeitschrift für angewandte Mathematik und Physik 68 (1) (2017)
DOI: 10.1007/s00033-016-0761-9
See this article

Équation Périodique de Navier–Stokes sans Viscosité dans une Direction

Marius Paicu
Communications in Partial Differential Equations 30 (8) 1107 (2005)
DOI: 10.1080/036053005002575529
See this article

Global well-posedness of the three dimensional incompressible anisotropic Navier–Stokes system

Kai Yan and Zhaoyang Yin
Nonlinear Analysis: Real World Applications 32 52 (2016)
DOI: 10.1016/j.nonrwa.2016.03.015
See this article

Ekman boundary layers in rotating fluids

Jean-Yves Chemin, Benoît Desjardins, Isabelle Gallagher and Emmanuel Grenier
ESAIM: Control, Optimisation and Calculus of Variations 8 441 (2002)
DOI: 10.1051/cocv:2002037
See this article

Global small solutions of 2-D incompressible MHD system

Fanghua Lin, Li Xu and Ping Zhang
Journal of Differential Equations 259 (10) 5440 (2015)
DOI: 10.1016/j.jde.2015.06.034
See this article

Global Well-Posedness of 3-D Anisotropic Navier–Stokes System with Small Unidirectional Derivative

Yanlin Liu, Marius Paicu and Ping Zhang
Archive for Rational Mechanics and Analysis 238 (2) 805 (2020)
DOI: 10.1007/s00205-020-01555-x
See this article

On the Global Well-posedness for the Boussinesq System with Horizontal Dissipation

Changxing Miao and Xiaoxin Zheng
Communications in Mathematical Physics 321 (1) 33 (2013)
DOI: 10.1007/s00220-013-1721-2
See this article

Uniform Local Existence for Inhomogeneous Rotating Fluid Equations

Mohamed Majdoub and Marius Paicu
Journal of Dynamics and Differential Equations 21 (1) 21 (2009)
DOI: 10.1007/s10884-008-9120-7
See this article

Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System

Li Xu and Ping Zhang
SIAM Journal on Mathematical Analysis 47 (1) 26 (2015)
DOI: 10.1137/14095515X
See this article

Rotating Fluids with Small Viscosity

V.-S. Ngo
International Mathematics Research Notices (2009)
DOI: 10.1093/imrn/rnp004
See this article

Anisotropic Regularity Conditions for the Suitable Weak Solutions to the 3D Navier–Stokes Equations

Yanqing Wang and Gang Wu
Journal of Mathematical Fluid Mechanics 18 (4) 699 (2016)
DOI: 10.1007/s00021-016-0279-0
See this article

THE VLASOV–POISSON SYSTEM WITH STRONG MAGNETIC FIELD IN QUASINEUTRAL REGIME

F. GOLSE and L. SAINT-RAYMOND
Mathematical Models and Methods in Applied Sciences 13 (05) 661 (2003)
DOI: 10.1142/S0218202503002647
See this article

Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion

Xiaoxia Ren, Jiahong Wu, Zhaoyin Xiang and Zhifei Zhang
Journal of Functional Analysis 267 (2) 503 (2014)
DOI: 10.1016/j.jfa.2014.04.020
See this article

Global regularity for generalized anisotropic Navier–Stokes equations

Ting Zhang
Journal of Mathematical Physics 51 (12) 123503 (2010)
DOI: 10.1063/1.3519382
See this article

On the regularity criteria of the 2D Boussinesq equations with partial dissipation

Zhuan Ye
Computers & Mathematics with Applications 72 (7) 1880 (2016)
DOI: 10.1016/j.camwa.2016.08.007
See this article

Boussinesq System with Partial Viscous Diffusion or Partial Thermal Diffusion Forced by a Random Noise

Kazuo Yamazaki
Applied Mathematics & Optimization 84 (S1) 1 (2021)
DOI: 10.1007/s00245-021-09756-w
See this article

On the well-posedness for the 2D micropolar Rayleigh–Bénard convection problem

Fuyi Xu, Liening Qiao and Mingxue Zhang
Zeitschrift für angewandte Mathematik und Physik 72 (1) (2021)
DOI: 10.1007/s00033-020-01454-x
See this article

On some large global solutions to 3-D density-dependent Navier–Stokes system with slow variable: Well-prepared data

Marius Paicu and Ping Zhang
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32 (4) 813 (2015)
DOI: 10.1016/j.anihpc.2014.03.006
See this article

A priori estimates for the 3D quasi-geostrophic system

Frédéric Charve
Journal of Mathematical Analysis and Applications 444 (2) 911 (2016)
DOI: 10.1016/j.jmaa.2016.06.056
See this article

About some possible blow-up conditions for the 3-D Navier-Stokes equations

Haroune Houamed
Journal of Differential Equations 275 116 (2021)
DOI: 10.1016/j.jde.2020.11.044
See this article

On the influence of gravity on density-dependent incompressible periodic fluids

Van-Sang Ngo and Stefano Scrobogna
Journal of Differential Equations 267 (2) 1510 (2019)
DOI: 10.1016/j.jde.2019.02.011
See this article

Uniqueness of Solutions to Initial Value Problems of Fractional Anisotropic Navier-Stokes Equations

敉秀 刘
Pure Mathematics 11 (12) 1957 (2021)
DOI: 10.12677/PM.2021.1112218
See this article

Uniqueness Result for the 3-D Navier–Stokes–Boussinesq Equations with Horizontal Dissipation

Pierre Dreyfuss and Haroune Houamed
Journal of Mathematical Fluid Mechanics 23 (1) (2021)
DOI: 10.1007/s00021-020-00547-x
See this article

Zero limit of entropic relaxation time for the Shliomis model of ferrofluids

Stefano Scrobogna
Journal of Mathematical Analysis and Applications 501 (2) 125213 (2021)
DOI: 10.1016/j.jmaa.2021.125213
See this article

Singular limits of the Cauchy problem to the two-layer rotating shallow water equations

Pengcheng Mu
Journal of Differential Equations 289 59 (2021)
DOI: 10.1016/j.jde.2021.04.014
See this article

Thermal transport equations in porous media from product-like fractal measure

Rami Ahmad El-Nabulsi
Journal of Thermal Stresses 44 (7) 899 (2021)
DOI: 10.1080/01495739.2021.1919585
See this article

Study of Anisotropic MHD system in Anisotropic Sobolev spaces

Jamel Ben Ameur and Ridha Selmi
Annales de la Faculté des sciences de Toulouse : Mathématiques 17 (1) 1 (2008)
DOI: 10.5802/afst.1172
See this article

Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit

Pengcheng Mu and Steve Schochet
Journal de Mathématiques Pures et Appliquées 158 90 (2022)
DOI: 10.1016/j.matpur.2021.10.005
See this article

On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation

Baoying Du
Boundary Value Problems 2022 (1) (2022)
DOI: 10.1186/s13661-022-01587-0
See this article

Sobolev estimates for non-uniformly parabolic PDEs

Steve Schochet
Partial Differential Equations and Applications 3 (1) (2022)
DOI: 10.1007/s42985-022-00149-4
See this article

Well-posedness and attractors for a 2D Boussinesq system with partial dissipation

Jinfang He, Shan Ma and Chunyou Sun
Journal of Differential Equations 319 1 (2022)
DOI: 10.1016/j.jde.2022.02.045
See this article

Large time behavior of solutions to the 3D anisotropic Navier–Stokes equation

Mikihiro Fujii
Nonlinear Analysis: Real World Applications 71 103821 (2023)
DOI: 10.1016/j.nonrwa.2022.103821
See this article

Global well-posedness of 3D homogeneous and inhomogeneous MHD system with small unidirectional derivative

Nacer Aarach and Ning Zhu
Calculus of Variations and Partial Differential Equations 62 (4) (2023)
DOI: 10.1007/s00526-023-02443-4
See this article

On the blow-up criterion for the Hall-MHD problem with partial dissipation in $\mathbb{R}^{3}$

Baoying Du
Boundary Value Problems 2023 (1) (2023)
DOI: 10.1186/s13661-023-01723-4
See this article

On the convergence of smooth solutions from Boltzmann to Navier–Stokes

Isabelle Gallagher and Isabelle Tristani
Annales Henri Lebesgue 3 561 (2020)
DOI: 10.5802/ahl.40
See this article

Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data

Frédéric Charve
Asymptotic Analysis 131 (3-4) 443 (2023)
DOI: 10.3233/ASY-221777
See this article

On stochastic modified 3D Navier–Stokes equations with anisotropic viscosity

Hakima Bessaih and Annie Millet
Journal of Mathematical Analysis and Applications 462 (1) 915 (2018)
DOI: 10.1016/j.jmaa.2017.12.053
See this article

Global Well-Posedness for the 3D Axisymmetric Hall-MHD System with Horizontal Dissipation

Zhouyu Li and Meiying Cui
Journal of Nonlinear Mathematical Physics 29 (4) 794 (2022)
DOI: 10.1007/s44198-022-00063-8
See this article

Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations

Li Xu and Ping Zhang
Journal of Differential Equations 335 464 (2022)
DOI: 10.1016/j.jde.2022.07.005
See this article

Stability result for the surface quasi-geostropic equations with horizontal dissipation in anisotropic Sobolev space

Hong Sung Jin, Minkyu Kwak and Bataa Lkhagvasuren
Journal of Mathematical Physics 63 (9) 091507 (2022)
DOI: 10.1063/5.0087229
See this article