On the attainable set for a class of triangular systems of conservation laws
type: Item
instance of: scholarly article
title: On the attainable set for a class of triangular systems of conservation laws
zbMATH Open document ID: 1336.35231
author: Carlotta Donadello
author: Shyam Sundar Ghoshal
author: Ulrich Razafison
author: Boris Andreianov
published in: Journal of Evolution Equations
publication date: 2015-10-20T00:00:00Z
review text: The authors describe the attainable set for solutions of special triangular systems of conservation laws consisting of linear continuity equations \((v_i)_t+(g_i(u)v_i)_x=0\), \(i=1,\dots,m\), coupled with a genuinely nonlinear conservation law \(u_t+f(u)_x=0\). After minor modifications such systems includes in particular the classical Keyfitz-Kranzer systems. The authors construct the backward solutions and prove that they are admissible forward solution whenever the target data are attainable. In particular, this implies that the constructed solutions are isentropic. Results of numerical experiments are also presented.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 47J35
zbMATH DE Number: 6496634
zbMATH Keywords: backward solutions
zbMATH Keywords: isentropic solutions
zbMATH Keywords: continuity equation
zbMATH Keywords: renormalization property
zbMATH Keywords: Keyfitz-Kranzer system
zbMATH Keywords: numerical backward resolution
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: s00028-014-0267-x
OpenAlex ID: W2028684550
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DOI: 10.1007/S00028-014-0267-X
description: scientific article; zbMATH DE number 6496634