On the blow-up criterion for incompressible Stokes-MHD equations

DOI10.1007/s00025-018-0874-xzbMath1404.35342OpenAlexW2886383657WikidataQ129433445 ScholiaQ129433445MaRDI QIDQ1990804

Ahmad Mohammad Alghamdi, Maria Alessandra Ragusa, Saddek Gala

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0874-x

zbMATH Keywords

strong solutionsblow-up criteria\(BMO\) spacesStokes-MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items

Existence and uniqueness of mild solutions to the chemotaxis-fluid system modeling coral fertilization ⋮ Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations ⋮ A regularity criterion for a 2D tropical climate model with fractional dissipation ⋮ The local characterizations of the singularity formation for the MHD equations ⋮ Backwards asymptotically autonomous dynamics for 2D MHD equations ⋮ Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics in Besov spaces ⋮ A regularity criterion for local strong solutions to the 3D Stokes-MHD equations ⋮ Global regularity and stability of solutions to the 3D double-diffusive convection system with Navier boundary conditions ⋮ Existence and asymptotic behaviors of sign-changing solutions for quasilinear elliptic systems ⋮ A regularity criterion for a 3D tropical climate model with damping ⋮ Global existence and blow-up of solution for the semilinear wave equation with interior and boundary source terms ⋮ Convergence rates of nonlinear Stokes problems in homogenization

Cites Work

• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• \(H^p\) spaces of several variables

This page was built for publication: On the blow-up criterion for incompressible Stokes-MHD equations