Mild Ill-Posedness inL∞ for 2D Resistive MHD Equations Near a Background Magnetic Field

DOI10.1093/IMRN/RNAC007OpenAlexW4206741925MaRDI QIDQ5886612

Jiefeng Zhao, Jiahong Wu

Publication date: 5 April 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnac007

zbMATH Keywords

magnetohydrodynamic (MHD) system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Mild Ill-Posedness for 2D Magneto-Micropolar Fluid Equations Near a Background Magnetic Field ⋮ Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping

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