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Horizontal Biot-Savart law in general dimension and an application to the 4D magneto-hydrodynamics.

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Publication:1693278
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zbMath1463.76063MaRDI QIDQ1693278

Kazuo Yamazaki

Publication date: 9 February 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

weak solutiondecompositionhigher-dimensional curl operator


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86)


Related Items (3)

On the Navier-Stokes equations in scaling-invariant spaces in any dimension ⋮ An improved regularity criteria for the MHD system based on two components of the solution. ⋮ On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian




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