Global Solutions of the Equations of 3D Compressible Magnetohydrodynamics with Zero Resistivity

Abstract

We prove the global-in-time existence of H^2 solutions of the equations of compressible magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data are taken to be small in H^2 modulo a constant state and initial densities are positive and essentially bounded. The present work generalizes the results obtained by Kawashima.

This paper has been withdrawn by the author due to a crucial error in the proof

References in corpus (3)

• Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows
• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
• Global Solutions for Incompressible Viscoelastic Fluids

Cited by in corpus (1)

• Incompressible Magnetohydrodynamic Flow with Zero Resistivity