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:

Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion

Yang Li
Calculus of Variations and Partial Differential Equations 63 (2) (2024)
https://doi.org/10.1007/s00526-023-02647-8

Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations

Franz Achleitner, Anton Arnold and Volker Mehrmann
Journal of Dynamics and Differential Equations (2023)
https://doi.org/10.1007/s10884-023-10327-6

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)
https://doi.org/10.1016/j.jde.2023.02.002

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

Marius Paicu and Ning Zhu
Nonlinearity 36 (5) 2403 (2023)
https://doi.org/10.1088/1361-6544/acc37a

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)
https://doi.org/10.1016/j.jmaa.2022.126979

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)
https://doi.org/10.3233/ASY-221777

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)
https://doi.org/10.2140/tunis.2023.5.171

Global well-posedness for the 3-D incompressible anisotropic rotating Navier-Stokes equations

Yuhui Liu and Dongjuan Niu
Discrete and Continuous Dynamical Systems - B (2023)
https://doi.org/10.3934/dcdsb.2023137

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)
https://doi.org/10.1007/s00526-023-02443-4

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)
https://doi.org/10.1016/j.jde.2022.02.045

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) (2022)
https://doi.org/10.1063/5.0087229

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)
https://doi.org/10.1016/j.matpur.2021.10.005

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)
https://doi.org/10.1007/s44198-022-00063-8

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

Siyu Liang, Ping Zhang and Rongchan Zhu
Journal of Differential Equations 275 473 (2021)
https://doi.org/10.1016/j.jde.2020.11.028

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

Stefano Scrobogna
Journal of Mathematical Analysis and Applications 501 (2) 125213 (2021)
https://doi.org/10.1016/j.jmaa.2021.125213

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)
https://doi.org/10.1007/s00021-020-00547-x

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)
https://doi.org/10.1007/s00033-020-01454-x

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

Kazuo Yamazaki
Applied Mathematics & Optimization 84 (S1) 1 (2021)
https://doi.org/10.1007/s00245-021-09756-w

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)
https://doi.org/10.2140/paa.2020.2.477

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)
https://doi.org/10.1007/s00205-020-01555-x

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)
https://doi.org/10.1016/j.jmaa.2019.123714

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

Isabelle Gallagher and Isabelle Tristani
Annales Henri Lebesgue 3 561 (2020)
https://doi.org/10.5802/ahl.40

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)
https://doi.org/10.1016/j.jde.2019.02.011

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)
https://doi.org/10.1080/03605302.2019.1641725

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

Tao Tao
Journal of Differential Equations 265 (9) 4283 (2018)
https://doi.org/10.1016/j.jde.2018.06.001

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)
https://doi.org/10.1016/j.physd.2018.03.004

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)
https://doi.org/10.3934/dcds.2018033

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)
https://doi.org/10.1016/j.jmaa.2017.12.053

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)
https://doi.org/10.1007/s00033-016-0761-9

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)
https://doi.org/10.3934/dcds.2017259

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)
https://doi.org/10.1007/s13398-015-0262-2

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)
https://doi.org/10.1007/s00021-016-0279-0

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)
https://doi.org/10.1016/j.nonrwa.2016.03.015

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)
https://doi.org/10.3934/dcds.2016055

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)
https://doi.org/10.1051/m2an/2016008

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)
https://doi.org/10.1016/j.anihpc.2014.03.006

Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System

Li Xu and Ping Zhang
SIAM Journal on Mathematical Analysis 47 (1) 26 (2015)
https://doi.org/10.1137/14095515X

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)
https://doi.org/10.3934/dcds.2015.35.301

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) (2015)
https://doi.org/10.1063/1.4921653

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)
https://doi.org/10.1017/S1474748013000212

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)
https://doi.org/10.1002/cpa.21506

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)
https://doi.org/10.1016/j.jde.2013.09.004

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)
https://doi.org/10.1016/j.jmaa.2014.03.068

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)
https://doi.org/10.1016/j.jfa.2014.04.020

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)
https://doi.org/10.2140/pjm.2013.262.263

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)
https://doi.org/10.1007/s00033-012-0281-1

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)
https://doi.org/10.1007/s00220-013-1721-2

Advanced Computational Methods for Knowledge Engineering

Van-Sang Ngo
Studies in Computational Intelligence, Advanced Computational Methods for Knowledge Engineering 479 187 (2013)
https://doi.org/10.1007/978-3-319-00293-4_15

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)
https://doi.org/10.1007/s11766-012-2534-3

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)
https://doi.org/10.1007/s10915-011-9464-8

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)
https://doi.org/10.1007/978-94-007-0231-8_36

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)
https://doi.org/10.4007/annals.2011.173.2.9

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)
https://doi.org/10.2140/apde.2011.4.95

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)
https://doi.org/10.1142/S0218202511005106

Global regularity for generalized anisotropic Navier–Stokes equations

Ting Zhang
Journal of Mathematical Physics 51 (12) (2010)
https://doi.org/10.1063/1.3519382

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)
https://doi.org/10.1002/mma.1296

Uniform Local Existence for Inhomogeneous Rotating Fluid Equations

Mohamed Majdoub and Marius Paicu
Journal of Dynamics and Differential Equations 21 (1) 21 (2009)
https://doi.org/10.1007/s10884-008-9120-7

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)
https://doi.org/10.1007/s00220-008-0631-1

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)
https://doi.org/10.5802/afst.1172

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)
https://doi.org/10.1016/j.matpur.2008.06.008

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)
https://doi.org/10.1007/s00220-007-0236-0

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)
https://doi.org/10.1016/j.jde.2004.06.005

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)
https://doi.org/10.1142/S0218202503002647

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)
https://doi.org/10.1051/cocv:2002037