Stability and exponential decay for the compressible viscous non-resistive MHD system
DOI10.1088/1361-6544/ad498czbMATH Open1541.35374MaRDI QIDQ6557877
Bo-Qing Dong, Jiahong Wu, Xiaoping Zhai
Publication date: 18 June 2024
Published in: Nonlinearity (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- 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
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- Magnetohydrodynamic approximation of the complete equations for an electro-magnetic fluid
- Global existence in critical spaces for compressible Navier-Stokes equations
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Global weak solutions to a 2D compressible non-resistivity MHD system with non-monotone pressure law and nonconstant viscosity
- Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system
- 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
- 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
- Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
- Optimal time‐decay rates for the 3D compressible Magnetohydrodynamic flows with discontinuous initial data and large oscillations
- On Global-in-Time Weak Solutions to a Two-Dimensional Full Compressible NonResistive MHD System
- Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity
- On Classical Solutions of the Compressible Magnetohydrodynamic Equations with Vacuum
- 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
- Global small solutions to the 3D compressible viscous non-resistive MHD system
- Global smooth solutions to the 3D compressible viscous non-isentropic magnetohydrodynamic flows without magnetic diffusion
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