On existence, uniqueness and Lr-exponential stability for stationary solutions to the MHD equations in three-dimensional domains

DOI10.1017/S1446181100013705zbMath1060.35114MaRDI QIDQ4819909

Chunshan Zhao, Kai-Tai Li

Publication date: 5 October 2004

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

stationary solutionsMHD equationsexistence, uniqueness and \(L ^{r}\)-exponential stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Stability and instability of geophysical and astrophysical flows (76E20) Geo-electricity and geomagnetism (86A25)

Related Items (7)

Exponential stability for magneto-micropolar fluids ⋮ Time optimal control problem of the 2D MHD equations with memory ⋮ Regularity criteria for 3D MHD flows in terms of spectral components ⋮ Asymptotic behavior of weak and strong solutions of the magnetohydrodynamic equations ⋮ Existence and regularity of solution for a model in magnetohydrodynamics ⋮ Pullback attractors for non-autonomous 2D MHD equations on some unbounded domains ⋮ On stationary solution of viscous compressible MHD equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^ p\) exponential stability for the equilibrium solutions of the Navier-Stokes equations
• Large-time behaviour of solutions to the magneto-hydrodynamics equations
• Über ein Rand-Anfangswertproblem der Magnetohydrodynamik

This page was built for publication: On existence, uniqueness and L^r-exponential stability for stationary solutions to the MHD equations in three-dimensional domains