On the infinite Prandtl number limit in two-dimensional magneto-convection

DOI10.1016/j.nonrwa.2018.09.009zbMath1412.35275arXiv1711.09218OpenAlexW2963432790WikidataQ129054200 ScholiaQ129054200MaRDI QIDQ1729231

Mingyu Zhang, Jian-Wen Zhang

Publication date: 27 February 2019

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

Full work available at URL: https://arxiv.org/abs/1711.09218

zbMATH Keywords

infinite Prandtl number limitinitial layermagneto-convection

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic expansions of solutions to PDEs (35C20) Magnetohydrodynamics and electrohydrodynamics (76W05) Free convection (76R10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) PDEs in connection with astronomy and astrophysics (35Q85)

Cites Work

• Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Nonlinear stability of the magnetic Bénard problem via a generalized energy method
• Infinite Prandtl number convection
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation
• An Introduction to Magnetohydrodynamics
• Logarithmic bounds for infinite Prandtl number rotating convection
• On upper bounds for infinite Prandtl number convection with or without rotation
• Some mathematical questions related to the mhd equations
• Infinite Prandtl number limit of Rayleigh-Bénard convection
• Scaling in thermal convection: a unifying theory
• Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number
• The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
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