Existence of global smooth solutions to the Cauchy problem of bipolar Navier–Stokes–Maxwell system

Wang, Shu; Feng, Yuehong; Li, Xin

doi:10.2969/aspm/06410347

VOL. 64 | 2015 Existence of global smooth solutions to the Cauchy problem of bipolar Navier–Stokes–Maxwell system

Shu Wang, Yuehong Feng, Xin Li

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Adv. Stud. Pure Math., 2015: 347-355 (2015) DOI: 10.2969/aspm/06410347

Abstract

This work is concerned with smooth periodic solutions for the compressible Navier–Stokes equations coupled with the Maxwell equations through the Lorentz force. The existence and uniqueness of the global smooth solution is established by using energy method.