Global solutions to an initial boundary problem for the compressible 3D MHD equations with Navier-slip and perfectly conducting boundary conditions in exterior domains
DOI10.1088/1361-6544/ac98ebzbMath1502.76130arXiv2106.04329OpenAlexW4308023995MaRDI QIDQ5047051
Tao Luo, Hua Zhong, Hai-Rong Liu
Publication date: 9 November 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.04329
existencecompressible Navier-Stokes equationsstrong solutionenergy estimatedecay rateglobal regularityNavier-slip boundary conditionsvanishing first Betti numberperfectly conducting condition
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Compressible Navier-Stokes equations (76N06)
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Cites Work
- Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics
- Uniform regularity for the Navier-Stokes equation with Navier boundary condition
- Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
- Asymptotic stability theorems for viscous fluid motions in exterior domains
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- Long-time behavior of solution to the compressible magnetohydrodynamic equations
- Incompressible limit of full compressible magnetohydrodynamic equations with well-prepared data in 3-D bounded domains
- Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
- Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- Strong solution to the compressible magnetohydrodynamic equations with vacuum
- Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition
- Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Global solutions of nonlinear magnetohydrodynamics with large initial data
- Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions
- On the vanishing viscosity limit of 3D Navier-Stokes equations under slip boundary conditions in general domains
- Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain
- Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions
- Global existence and convergence rates of smooth solutions for the full compressible MHD equations
- Uniform regularity and vanishing dissipation limit for the full compressible Navier-Stokes system in three dimensional bounded domain
- Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
- Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
- On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
- Estimating ∇u by divu and curlu
- L2Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
- Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
- APPROXIMATION OF THE LARGER EDDIES IN FLUID MOTIONS II: A MODEL FOR SPACE-FILTERED FLOW
- Global Strong and Weak Solutions to the Initial-Boundary-Value Problem of two-dimensional Compressible MHD System with Large Initial Data and Vacuum
- Strong solutions to 3D compressible magnetohydrodynamic equations with Navier‐slip condition
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