INCOMPRESSIBLE LIMIT OF IDEAL MAGNETOHYDRODYNAMICS IN A DOMAIN WITH BOUNDARIES

doi:10.1007/s10473-024-0414-6

摘要/Abstract

摘要： We study the incompressible limit of classical solutions to compressible ideal magneto-hydrodynamics in a domain with a flat boundary. The boundary condition is characteristic and the initial data is general. We first establish the uniform existence of classical solutions with respect to the Mach number. Then, we prove that the solutions converge to the solution of the incompressible MHD system. In particular, we obtain a stronger convergence result by using the dispersion of acoustic waves in the half space.

关键词: incompressible limit, ideal MHD equations, boundary condition, general initial data

Abstract: We study the incompressible limit of classical solutions to compressible ideal magneto-hydrodynamics in a domain with a flat boundary. The boundary condition is characteristic and the initial data is general. We first establish the uniform existence of classical solutions with respect to the Mach number. Then, we prove that the solutions converge to the solution of the incompressible MHD system. In particular, we obtain a stronger convergence result by using the dispersion of acoustic waves in the half space.

Key words: incompressible limit, ideal MHD equations, boundary condition, general initial data

中图分类号:

35B40

Qiangchang Ju, Jiawei Wang. INCOMPRESSIBLE LIMIT OF IDEAL MAGNETOHYDRODYNAMICS IN A DOMAIN WITH BOUNDARIES[J]. 数学物理学报(英文版), 2024, 44(4): 1441-1465.

Qiangchang Ju, Jiawei Wang. INCOMPRESSIBLE LIMIT OF IDEAL MAGNETOHYDRODYNAMICS IN A DOMAIN WITH BOUNDARIES[J]. Acta mathematica scientia,Series B, 2024, 44(4): 1441-1465.

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