Nonlinear stability of the inviscid magnetic Bénard problem

DOI10.1007/s00021-022-00743-xOpenAlexW4307912760MaRDI QIDQ2096360

Fei Jiang, Yanjin Wang

Publication date: 16 November 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-022-00743-x

zbMATH Keywords

nonlinear stabilitymagnetohydrodynamicsthermal convectionBénard problemmagnetic inhibition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Absolute and convective instability and stability in hydrodynamic stability (76E15) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (1)

On echoes in magnetohydrodynamics with magnetic dissipation

Cites Work

• Nonlinear stability of the magnetic Bénard problem via a generalized energy method
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
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• Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
• Hydrodynamic Stability
• Critical Rayleigh number in Rayleigh-Bénard convection
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