Stability of rarefaction wave for isentropic compressible Navier–Stokes–Maxwell equations. (June 2021)

• Record Type: Journal Article
• Authors: Luo, Fangqi; Yao, Huancheng; Zhu, Changjiang
• Is Part Of: Nonlinear analysis. Volume 59(2021)
• Publication Date: 2021-06
• Subjects: Compressible Navier–Stokes–Maxwell equations -- Weak rarefaction wave -- Asymptotic behavior -- Dielectric constant; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103234
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We study the large-time asymptotic behavior of solutions toward the weak rarefaction wave of Navier–Stokes equations coupling with the Maxwell equations under small perturbations of initial data and also under the dielectric constant suitably small. The result is proved based on elementary L 2 energy methods.