Global existence of bounded smooth solutions for the compressible ideal MHD system with planar symmetry
type: Item
instance of: scholarly article
title: Global existence of bounded smooth solutions for the compressible ideal MHD system with planar symmetry
author: Haoxiang Song
author: Wancheng Sheng
author: Geng Lai
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2024-11-14T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 7944369
zbMATH Keywords: ideal MHD equations
zbMATH Keywords: planar symmetry
zbMATH Keywords: classical solution
zbMATH Keywords: characteristic decomposition
MaRDI profile type: Publication
cites work: Low regularity ill-posedness for non-strictly hyperbolic systems in three dimensions
cites work: Q4008506
cites work: Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions
cites work: Singularity Formation for the Compressible Euler Equations
cites work: Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations
cites work: Global solutions of nonlinear magnetohydrodynamics with large initial data
cites work: The formation of shocks in 3-dimensional fluids.
cites work: Compressible flow and Euler's equations
cites work: On admissibility criteria for weak solutions of the Euler equations
cites work: Global existence of a class of smooth 3D spherically symmetric flows of Chaplygin gases with variable entropy
cites work: Global smooth solutions to Euler equations for a perfect gas
cites work: Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
cites work: On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases
cites work: Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
cites work: Formation of singularities in one-dimensional nonlinear wave propagation
cites work: Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
cites work: Global existence of smooth solutions to two-dimensional compressible isentropic Euler equations for Chaplygin gases
cites work: Existence of global bounded smooth solutions for the one‐dimensional nonisentropic Euler system
cites work: Q5735118
cites work: Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
cites work: Global radial solutions to 3D relativistic Euler equations for non-isentropic Chaplygin gases
cites work: Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations
cites work: Interaction of rarefaction waves of the two-dimensional self-similar Euler equations
cites work: Q4852353
cites work: Q3762928
cites work: Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
cites work: Large time existence of special strong solutions to MHD equations in cylindrical domains
cites work: Solutions classiques globales des équations d'Euler pour un fluide parfait compressible. (Global smooth solutions for the Euler equations of a perfect compressible fluid.)
cites work: Formation of singularities in three-dimensional compressible fluids
cites work: Large Solutions to the Initial-Boundary Value Problem for Planar Magnetohydrodynamics
cites work: Global smooth solution of the nonisentropic gas dynamics system
DOI: 10.1007/S00033-024-02367-9
description: scientific article; zbMATH DE number 7944369