Uniform regularity estimates of solutions to three dimensional incompressible magnetic Bénard equations with Navier-slip type boundary conditions in half space
From MaRDI portal
Publication:2199956
DOI10.1016/j.na.2020.111932zbMath1447.35091OpenAlexW3023358433MaRDI QIDQ2199956
Publication date: 14 September 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2020.111932
conormal Sobolev spaceNavier-slip boundary conditionincompressible magnetic Bénard systeminsulation boundaryinviscid type limit
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45)
Cites Work
- Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions
- Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
- Uniform regularity for the Navier-Stokes equation with Navier boundary condition
- Relevance of the slip condition for fluid flows near an irregular boundary
- Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition
- Nonlinear stability of the magnetic Bénard problem via a generalized energy method
- Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
- Uniform global strong solutions of the 2D density-dependent incompressible magnetic Bénard problem in a bounded domain
- On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions
- Global regularity results for the 2D magnetic Bénard problem with fractional dissipation
- Small viscosity and boundary layer methods. Theory, stability analysis, and applications
- On solvability of an initial-boundary-value problem for equations of magnetohydrodynamics
- Nonstationary flows of viscous and ideal fluids in \(R^3\)
- A new approach to energy theory in the stability of fluid motion
- A uniform estimate for the incompressible magneto-hydrodynamics equations with a slip boundary condition
- A new boundary condition for the three-dimensional Navier-Stokes equation and the vanishing viscosity limit
- On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
- Wall laws for fluid flows at a boundary with random roughness
- MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory
- Justification of Prandtl Ansatz for MHD Boundary Layer
- On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half‐Plane
- Zero dissipation limit and stability of boundary layers for the heat conductive Boussinesq equations in a bounded domain