Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data
DOI10.1016/j.jde.2022.01.041zbMath1496.35301arXiv2105.14665OpenAlexW3171106542MaRDI QIDQ2669917
Publication date: 9 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14665
vacuumglobal strong solutioneffective viscous fluxlarge initial datacompressible magnetohydrodynamic equationstransverse effective viscous flux
Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) 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) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
- A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations
- Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
- Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary
- Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum
- Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
- Some decay estimates of solutions for the 3-D compressible isentropic magnetohydrodynamics
- Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum
- Global strong solutions to the one-dimensional heat-conductive model for planar non-resistive magnetohydrodynamics with large data
- Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations
- Strong solution to the compressible magnetohydrodynamic equations with vacuum
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
- Global solutions of nonlinear magnetohydrodynamics with large initial data
- Global stability of large solutions of the 3-D compressible magnetohydrodynamic equations
- A free boundary problem for planar compressible Hall-magnetohydrodynamic equations
- Optimal decay rates of the compressible magnetohydrodynamic equations
- Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations
- Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum
- Global large solutions of magnetohydrodynamics with temperature-dependent heat conductivity
- Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
- On global solutions and asymptotic behavior of planar magnetohydrodynamics with large data
- Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum
- Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
- Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
- LOCAL STRONG SOLUTION TO THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOW WITH LARGE DATA
- A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
- Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
- Global solutions to planar magnetohydrodynamic equations with radiation and large initial data
- Global well-posedness of non-heat conductive compressible Navier–Stokes equations in 1D
- On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum
- Global Well-Posedness of the One-Dimensional Compressible Navier--Stokes Equations with Constant Heat Conductivity and Nonnegative Density
- On Classical Solutions of the Compressible Magnetohydrodynamic Equations with Vacuum
- Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum
- Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum
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