Incompressible limit of nonisentropic ideal magnetohydrodynamic equations with periodic boundary conditions

Abstract

This paper is concerned with the incompressible limit of the non-isentropic ideal magnetohydrodynamic equations with periodic boundary conditions and general initial data. Weak convergence results of the smooth solutions are established by filtering method in the torus.

Keywords:

• Incompressible limit
• general initial data
• the non-isentropic ideal magnetohydrodynamic equations

AMS Classifications:

• 76W05
• 35B40
• 76M45

Acknowledgments

The authors would like to thank Professor Qiangchang Ju for helpful discussions during the preparation of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors are supported by the NSFC (Grants 12071044 and 12131007).