Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab
DOI10.1016/J.NA.2022.113162zbMath1503.35191OpenAlexW4307259817MaRDI QIDQ2105522
Publication date: 8 December 2022
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.2022.113162
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
- Unnamed Item
- Local well-posedness of the viscous surface wave problem without surface tension
- Global small solutions of 2-D incompressible MHD system
- Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- On linear instability and stability of the Rayleigh-Taylor problem in magnetohydrodynamics
- Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
- Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
- On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
- Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D
- Global well-posedness of the incompressible magnetohydrodynamics
- Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
- Almost exponential decay of periodic viscous surface waves without surface tension
- Lagrangian approach to global well-posedness of the viscous surface wave equations without surface tension
- Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations
- On inhibition of thermal convection instability by a magnetic field under zero resistivity
- On the dynamical stability and instability of parker problem
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids
- Decay of viscous surface waves without surface tension in horizontally infinite domains
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Instability of the abstract Rayleigh–Taylor problem and applications
- Longtime Dynamics of a Conductive Fluid in the Presence of a Strong Magnetic Field
- On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem
- Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
- On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics
- On the existence of globally defined weak solutions to the Navier-Stokes equations
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