Local existence and blow-up criterion of 3D ideal magnetohydrodynamics equations

DOI10.1016/S0252-9602(18)30844-0zbMath1438.35319OpenAlexW2898165852MaRDI QIDQ2313171

Jae-Myoung Kim

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30844-0

zbMATH Keywords

bounded domainblow-up criterionideal magnetohydrodynamics equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (1)

A Beale–Kato–Majda criterion for free boundary incompressible ideal magnetohydrodynamics

Cites Work

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• A New Blowup Criterion for Ideal Viscoelastic Flow
• Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations
• A Losing Estimate for the Ideal MHD Equations with Application to Blow‐up Criterion
• Incompressible flows of an ideal fluid with unbounded vorticity

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