Uniform global convergence of non-isentropic Euler–Maxwell systems with dissipation. (June 2019)

• Record Type: Journal Article
• Authors: Yang, Yong-Fu; Hu, Hui-Fang
• Is Part Of: Nonlinear analysis. Volume 47(2019)
• Page Start: 332
• Page End: 347
• Publication Date: 2019-06
• Subjects: Non-isentropic Euler–Maxwell system -- Uniform global-in-time smooth solution -- Energy estimate -- Compactness and convergence; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.11.005
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The purpose of this paper is to investigate uniformly global smooth solutions to the Cauchy problem for a non-isentropic Euler–Maxwell system with velocity dissipation and small physical parameters. As the parameters go to zero, we prove that the quasi-neutral limit of the non-isentropic Euler–Maxwell system is the e-MHD system and the linear transport equation for temperature, while its non-relativistic quasi-neutral limit is the incompressible Euler equation and the linear transport equation for temperature. The uniform energy estimates are achieved through controlling the divergence and the curl of the velocity, the electric and magnetic fields.