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

2012/02/18 by Anthony Suen, Suen, Anthony
Engineering · Mathematics · #76W05 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1202.4081

openalex publication_date 2012/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the global-in-time existence of H² solutions of the equations of compressible magnetohydrodynamics with zero magnetic resistivity in three space dimensions. Initial data are taken to be small in H² modulo a constant state and initial densities are positive and essentially bounded. The present work generalizes the results obtained by Kawashima.

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