The relaxation limit for systems of Broadwell type
type: Item
instance of: scholarly article
title: The relaxation limit for systems of Broadwell type
zbMATH Open document ID: 1028.35107
author: C. Klingenberg
author: Yun-Guang Lu
published in: Differential and Integral Equations
publication date: 2003-03-13T00:00:00Z
review text: The authors studied the Cauchy problem for a system of Broadwell type \[ f_{1t}+ f_{1x}= {F(f_1, f_2,f_3)\over\tau},\quad f_{2t}- f_{2x}= {F(f_1, f_2,f_3)\over \tau},\quad f_{3t}= {F(f_1, f_2,f_3)\over 2\tau}. \] By using the viscous approximation method and a compensated compactness argument they prove the existence of a global weak solution of the viscous approximate system, and confirm that the limit of the solution is the solution of the corresponding Cauchy problem of the equilibrium system.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 1832809
zbMATH Keywords: Cauchy problem
zbMATH Keywords: viscous approximation
zbMATH Keywords: compensated compactness
zbMATH Keywords: global weak solution
reviewed by: Shuxing Chen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1832809