Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system

DOI10.1016/j.nonrwa.2020.103284zbMath1464.35216arXiv2007.15094OpenAlexW3127440743MaRDI QIDQ2025889

Dimitri Cobb, Francesco Fanelli

Publication date: 17 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15094

zbMATH Keywords

singular perturbationcritical regularityElsässer variableslow Rossby numberrelative entropy inequalityquasi-homogeneous ideal MHD

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Rossby waves (76U65)

Related Items (3)

Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations ⋮ Symmetry breaking in ideal magnetohydrodynamics: the role of the velocity ⋮ Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions

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