A regularity criterion for local strong solutions to the 3D Stokes-MHD equations

DOI10.4064/ap190307-21-9zbMath1446.35116OpenAlexW3004999617MaRDI QIDQ3306083

Maria Alessandra Ragusa, Ahmad Mohammad Alghamdi, Saddek Gala

Publication date: 12 August 2020

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap190307-21-9

zbMATH Keywords

strong solutionsregularity criterionStokes-MHD equationsBesov spaces \(\dot{B}_{\infty,\infty}^0\)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Magnetohydrodynamics and electrohydrodynamics (76W05) Strong solutions to PDEs (35D35)

Related Items (4)

Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations ⋮ Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory type II and integral condition ⋮ Solvability for a new class of Moore-Gibson-Thompson equation with viscoelastic memory, source terms, and integral condition ⋮ Existence and asymptotic behaviors of sign-changing solutions for quasilinear elliptic systems

Cites Work

• Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Compensated compactness and Hardy spaces
• On the blow-up criterion for incompressible Stokes-MHD equations
• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• Unnamed Item

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