Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations

Article type: Research Article

Authors: Jiang, Song^a | Li, Fucai^{b; *}

Affiliations: [a] Institute of Applied Physics and Computational Mathematics, Beijing, China | [b] Department of Mathematics, Nanjing University, Nanjing, China

Correspondence: [*] Corresponding author: Fucai Li, Department of Mathematics, Nanjing University, Nanjing 210093, China. E-mail: [email protected].

Abstract: The full compressible magnetohydrodynamic equations can be derived formally from the complete electromagnetic fluid system in some sense as the dielectric constant tends to zero. This process is usually referred as magnetohydrodynamic approximation in physical books. In this paper we justify this singular limit rigorously in the framework of smooth solutions for well-prepared initial data.

Keywords: complete electromagnetic fluid system, full compressible magnetohydrodynamic equations, zero dielectric constant limit

DOI: 10.3233/ASY-151321

Journal: Asymptotic Analysis, vol. 95, no. 1-2, pp. 161-185, 2015