Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions

Details Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions

2010-10-26

arxiv.org/abs/1010.5296v1

Communication in Mathematical Physics, 297(2010), no.2, 371-400

Mathematics

Analysis of PDEs

28 pages

Scientific paper

This paper is concerned with the incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions. It is rigorously shown that the weak solutions of the compressible magnetohydrodynamic equations converge to the strong solution of the viscous or inviscid incompressible magnetohydrodynamic equations as long as the latter exists both for the well-prepared initial data and general initial data. Furthermore, the convergence rates are also obtained in the case of the well-prepared initial data.

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