Global well-posedness and relaxation limits of a model for radiating gas.
type: Item
instance of: scholarly article
title: Global well-posedness and relaxation limits of a model for radiating gas.
zbMATH Open document ID: 1052.35126
DOI: 10.1016/S0022-0396(02)00158-4
author: Pierangelo Marcati
author: Corrado Lattanzio
published in: Journal of Differential Equations
publication date: 2003-06-17T00:00:00Z
review text: The authors prove existence and uniqueness of solutions for the system \[ u_t+ \tfrac{1}{2} (u^2)_x= -q_x, \qquad -q_{xx}+ q=-u_x \] with arbitrary large discontinuous data and study the relaxation limits.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 1929518
zbMATH Keywords: scalar conservation laws
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: arbitrary large discontinuous data
reviewed by: Guy Boillat
MaRDI profile type: Publication
cites work: Q4701082
cites work: NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS
cites work: Q4934464
cites work: Q4392624
cites work: Shock Waves for a Model System of the Radiating Gas
cites work: CAUCHY PROBLEM FOR A MODEL SYSTEM OF THE RADIATING GAS: WEAK SOLUTIONS WITH A JUMP AND CLASSICAL SOLUTIONS
cites work: FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
cites work: Asymptotic behavior of solutions to a model system of radiating gas with discontinuous initial data
cites work: Q4314474
Wikidata QID: Q58619761
description: scientific article; zbMATH DE number 1929518