Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity

2011/11/12 by Song Jiang, Jiang, Song, Qiangchang Ju +3
Mathematics · #35B40 #76W05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1111.2926

openalex publication_date 2011/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity and general initial data in the whole space ℝ^d (d=2,3). We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.

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