On the fast rotation asymptotics of a non-homogeneous incompressible MHD system

DOI10.1088/1361-6544/abb929zbMath1464.35215arXiv1912.04077OpenAlexW3181209001MaRDI QIDQ4986222

Dimitri Cobb, Francesco Fanelli

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04077

zbMATH Keywords

Coriolis forcesingular perturbation problemincompressible MHDlow Rossby numberdensity variationsvariable viscosity and resistivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Rossby waves (76U65)

Related Items (4)

Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations ⋮ Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect ⋮ On the influence of gravity in the dynamics of geophysical flows ⋮ Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Highly rotating viscous compressible fluids in presence of capillarity effects
• A singular limit problem for rotating capillary fluids with variable rotation axis
• Multi-scale analysis of compressible viscous and rotating fluids
• Multiscale analysis in the compressible rotating and heat conducting fluids
• Ordinary differential equations, transport theory and Sobolev spaces
• Incompressible limit for a viscous compressible fluid
• Existence of solution for a density-dependent magnetohydrodynamic equation
• Global well-posedness and long-time dynamics for a higher order quasi-geostrophic type equation
• Derivation of inviscid quasi-geostrophic equation from rotational compressible magnetohydrodynamic flows
• Remarks on a nonhomogeneous model of magnetohydrodynamics.
• Asymptotics of fast rotating density-dependent incompressible fluids in two space dimensions
• A global existence result for the anisotropic rotating magnetohydrodynamical systems
• Weak convergence results for inhomogeneous rotating fluid equations
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• Rotating compressible fluids under strong stratification
• Stability of large amplitude Ekman-Hartmann boundary layers in MHD: the case of ill-prepared data
• Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
• Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
• A Singular Limit for Compressible Rotating Fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Stability of mixed Ekman-Hartmann boundary layers

This page was built for publication: On the fast rotation asymptotics of a non-homogeneous incompressible MHD system