Global existence of bounded solutions to the relativistic BGK model. (February 2022)

• Record Type: Journal Article
• Authors: Hwang, Byung-Hoon
• Is Part Of: Nonlinear analysis. Volume 63(2022)
• Publication Date: 2022-02
• Subjects: Relativistic Boltzmann equation -- Relativistic BGK model -- Anderson–Witting model -- Global existence -- Bounded solution; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103409
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The relativistic BGK model is a representative relaxation-time approximation of the relativistic Boltzmann equation. In this paper, we prove the global existence of bounded solutions to the relativistic BGK model proposed by Anderson and Witting when the initial data satisfies the excess conservations of mass and energy, and the excess entropy inequality from global equilibrium. The L ∞ estimate established in Guo (2010) is the main ingredient of the proof.