A uniform estimate for the incompressible magneto-hydrodynamics equations with a slip boundary condition

DOI10.1090/qam/1406zbMath1336.35301OpenAlexW2333127616MaRDI QIDQ2792378

Yiping Meng, Ya-Guang Wang

Publication date: 9 March 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1406

zbMATH Keywords

incompressible MHD equationsconormal Sobolev spacesuniform estimatesmall viscosity limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Initial-boundary value problems for PDEs of mixed type (35M13) Strong solutions to PDEs (35D35)

Related Items

Uniform regularity estimates of solutions to three dimensional incompressible magnetic Bénard equations with Navier-slip type boundary conditions in half space, Uniform regularity for the incompressible Navier-Stokes system with variable density and Navier boundary conditions, Global existence and large time behavior of strong solutions for 3D nonhomogeneous heat-conducting magnetohydrodynamic equations, The combined inviscid and non-resistive limit for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit
• Uniform regularity for the Navier-Stokes equation with Navier boundary condition
• Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
• Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
• Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations
• Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• On the global existence of solutions to the Prandtl's system.
• Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
• Some mathematical questions related to the mhd equations
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• Probleme Mixte Hyperbolique Quasi-Lineaire Caracteristique
• On the ill-posedness of the Prandtl equation
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• Blowup of solutions of the unsteady Prandtl's equation
• Well-posedness of the Prandtl equation in Sobolev spaces
• On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition
• On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
• Navier--Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane
• Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions