On the regularity criteria for the 3D magnetohydrodynamic equations via two components in terms of BMO space

S Benbernou, S Gala… - Mathematical Methods in …, 2014 - Wiley Online Library
In this paper, we consider sufficient conditions for the regularity of Leray–Hopf solutions of
the 3D incompressible magnetohydrodynamic equations via two components of the velocity …

On the Serrin-type condition on one velocity component for the Navier–Stokes equations

D Chae, J Wolf - Archive for Rational Mechanics and Analysis, 2021 - Springer
In this paper we consider the regularity problem of the Navier–Stokes equations in R^ 3 R 3.
We show that the Serrin-type condition imposed on one component of the velocity u_3 ∈ L …

Some regularity criteria for the 3D incompressible magnetohydrodynamics

E Ji, J Lee - Journal of Mathematical Analysis and Applications, 2010 - Elsevier
Some regularity criteria for the 3D incompressible magnetohydrodynamics Page 1 J. Math.
Anal. Appl. 369 (2010) 317–322 Contents lists available at ScienceDirect Journal of …

Regularity criterion via two components of velocity on weak solutions to the shear thinning fluids in

AM Alghamdi, S Gala, MA Ragusa, JQ Yang - Computational and Applied …, 2020 - Springer
We consider the regularity of weak solutions to the shear thinning fluids in R^ 3 R 3. Let u be
a weak solution in R^ 3 * (0, T) R 3×(0, T) and u=(u_ 1, u_ 2, 0) u~=(u 1, u 2, 0). It is proved …

[PDF][PDF] A new regularity criterion for the Navier-Stokes equations in terms of the two components of the velocity

S Gala, M Ragusa - Electronic Journal of Qualitative Theory of …, 2016 - real.mtak.hu
A new regularity criterion for the Navier–Stokes equations in terms of the two components of the
velocity Page 1 Electronic Journal of Qualitative Theory of Differential Equations 2016, No. 26 …

Conditional regularity for the 3D damped Boussinesq equations with zero thermal diffusion

Z Li, W Liu, Q Zhou - Bulletin of the Brazilian Mathematical Society, New …, 2024 - Springer
The main purpose of this paper is to establish regularity criteria of the 3D damped
Boussinesq equations with zero thermal diffusion. It is shown that if two components of the …

A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of one velocity component

J Wolf - Analysis, 2015 - degruyter.com
A regularity criterion of Serrin-type for the Navier–Stokes equations involving the gradient of
one velocity component Page 1 Analysis ; ( ): – Research Article Jörg Wolf* A regularity criterion …

[HTML][HTML] Large time behavior for the nonstationary Navier–Stokes flows in the half-space

P Han - Advances in Mathematics, 2016 - Elsevier
Asymptotic behavior of higher-order spatial derivatives in L r is established for
incompressible Navier–Stokes flows in the half-space, which is a long-time unsolved …

Regularity for Ostwald-de Waele type shear thickening fluids

HO Bae, K Kang, J Lee, J Wolf - Nonlinear Differential Equations and …, 2015 - Springer
Regularity for Ostwald-de Waele type shear thickening fluids Page 1 Nonlinear Differ. Equ.
Appl. 22 (2015), 1–19 c 2014 Springer Basel 1021-9722/15/010001-19 published online April …

[HTML][HTML] Regularity criteria for 3D shear thinning fluids via two velocity components

J Yang - Computers & Mathematics with Applications, 2019 - Elsevier
Regularity criteria for 3D shear thinning fluids via two velocity components - ScienceDirect
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