A single exponential BKM type estimate for the 3D incompressible ideal MHD equations

DOI10.1186/1687-2770-2014-96zbMath1304.35562OpenAlexW2104214584WikidataQ59323978 ScholiaQ59323978MaRDI QIDQ476999

Fenglun Wei, Jianli Liu, Ke-jia Pan

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-96

zbMATH Keywords

MHD equationsBeale-Kato-Majda criterionideal viscoelastic flowsingle exponential bound

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Magnetohydrodynamics and electrohydrodynamics (76W05) Strong solutions to PDEs (35D35)

Cites Work

• A blowup criterion for ideal viscoelastic flow
• A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda type estimate
• On the blow-up criterion of smooth solutions to the 3D ideal MHD equations
• Compressible fluid flow and systems of conservation laws in several space variables
• On the well-posedness of the ideal MHD equations in the Triebel-Lizorkin spaces
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
• Remarks on the blow-up criteria for three-dimensional ideal magnetohydrodynamics equations
• Geometric Statistics in Turbulence
• Geometric constraints on potentially
• Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation

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