Global small solutions to the 3D compressible viscous non-resistive MHD system
From MaRDI portal
Publication:6068359
DOI10.1142/s0218202523500574zbMath1527.35305arXiv2211.06231MaRDI QIDQ6068359
Publication date: 15 December 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.06231
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global small solutions of 2-D incompressible MHD system
- Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
- Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
- Local existence for the non-resistive MHD equations in Besov spaces
- Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- Vanishing viscosity limit for the 3D magnetohydrodynamic system with a slip boundary condition
- Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
- Global classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes
- Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D
- Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations
- Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
- Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
- Global weak solutions to a 2D compressible non-resistivity MHD system with non-monotone pressure law and nonconstant viscosity
- Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
- Global well-posedness for 2D non-resistive compressible MHD system in periodic domain
- On local strong solutions to the 2D Cauchy problem of the compressible non-resistive magnetohydrodynamic equations with vacuum
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- On blowup of classical solutions to the compressible Navier-Stokes equations
- Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids
- Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system
- Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
- Optimal time‐decay rates for the 3D compressible Magnetohydrodynamic flows with discontinuous initial data and large oscillations
- Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum
- On the non-resistive limit and the magnetic boundary-layer for one-dimensional compressible magnetohydrodynamics
This page was built for publication: Global small solutions to the 3D compressible viscous non-resistive MHD system