A regularity criterion for 3D ideal density-dependent MHD system

DOI10.1016/j.camwa.2017.03.004zbMath1375.35408OpenAlexW2598912782MaRDI QIDQ2403831

Mingxuan Zhu, Hongyan Xie

Publication date: 12 September 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.03.004

zbMATH Keywords

MHDregularity criterionideal fluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hypersonic flows (76K05)

Related Items (1)

A regularity criterion for the density-dependent magnetohydrodynamics system in critical Besov spaces

Cites Work

• A regularity criterion for 3D density-dependent MHD system with zero viscosity
• A regularity criterion for a 3D density-dependent incompressible liquid crystals model
• Local existence and blow-up criterion of the ideal density-dependent flows
• Uniform local well-posedness for the density-dependent magnetohydrodynamic equations
• Local existence and blow-up criterion of the inhomogeneous Euler equations
• Regularity criteria for the three-dimensional magnetohydrodynamic equations
• Global existence for the magnetohydrodynamic system in critical spaces
• A regularity criterion for the density-dependent magnetohydrodynamic equations
• Commutator estimates and the euler and navier-stokes equations

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