Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations. (1st August 2010)

• Record Type: Journal Article
• Authors: Yang Yang, Jianwei Jianwei; Wang Wang, Shu Shu; Li Li, Yong Yong
• Other Names: O'Regan O'Regan Donal Donal Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-08-01
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/716451
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both systems is obtained. For well-prepared initial data, the convergence of the limit is rigorously justified by an analysis of asymptotic expansion, an energy method, and an iterative scheme. We also establish uniform a priori estimates with respect to ϵ .