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On the Yudovich solutions for the ideal MHD equations

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Publication:2936154
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DOI10.1088/0951-7715/27/12/3117zbMath1374.35310arXiv1401.6326OpenAlexW1964744587MaRDI QIDQ2936154

Taoufik Hmidi

Publication date: 5 January 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6326



Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)


Related Items (5)

On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces ⋮ Inviscid limit for the full viscous MHD system with critical axisymmetric initial data ⋮ Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping ⋮ Sharp \(L^{p}\) estimates for singular transport equations ⋮ Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions




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