Volume viscosity and internal energy relaxation: Error estimates. (October 2018)

• Record Type: Journal Article
• Authors: Giovangigli, Vincent; Yong, Wen An
• Is Part Of: Nonlinear analysis. Volume 43(2018)
• Page Start: 213
• Page End: 244
• Publication Date: 2018-10
• Subjects: Volume viscosity -- Internal energy relaxation -- Hyperbolic–parabolic -- Chapman–Enskog expansion -- Error estimates; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2018.03.004
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We investigate the fast relaxation of internal energy in nonequilibrium gas models derived from the kinetic theory of gases. We establish uniform a priori estimates and existence theorems for symmetric hyperbolic–parabolicsystems of partial differential equations with small second order terms and stiff sources. We prove local in time error estimates between the out of equilibrium solution and the one-temperature equilibrium fluid solution for well prepared data and justify the apparition of volume viscosity terms .