On the Sobolev stability threshold of 3D Couette flow in a uniform magnetic field

DOI10.1007/s00220-020-03768-3zbMath1442.35345arXiv1812.11540OpenAlexW3034480082MaRDI QIDQ2191164

Kyle Liss

Publication date: 24 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11540

zbMATH Keywords

Navier-Stokes equationsCouette flowmagnetohydrodynamics equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (9)

Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid ⋮ On enhanced dissipation for the Boussinesq equations ⋮ Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations ⋮ On variable viscosity and enhanced dissipation ⋮ Stability threshold of the 2D Couette flow in a homogeneous magnetic field using symmetric variables ⋮ On echoes in magnetohydrodynamics with magnetic dissipation ⋮ Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System ⋮ Stability of Couette flow for 2D Boussinesq system with vertical dissipation ⋮ On the Boussinesq equations with non-monotone temperature profiles

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