On the initial boundary value problem for Temple systems
type: Item
instance of: scholarly article
title: On the initial boundary value problem for Temple systems
zbMATH Open document ID: 1058.35150
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-09-22T00:00:00Z
review text: The hyperbolic system \(u_t +f(u)_x =0\) is considered in the domain \(t>0\), \(x>\Psi (t)\). Assumptions on the flux \(f: \mathbb R^n \to \mathbb R^n\) are imposed to state that the system is of the Temple type. The boundary condition \(u(t,\Psi (t))=\) \(\widetilde{u}(t)\) is satisfied in the Dubois-LeFloch sense [\textit{F. Dubois} and \textit{P. LeFloch}, J. Differ. Equations 71, No. 1, 93--122 (1988; Zbl 0649.35057)]. The initial and boundary-data functions are BV-functions. Global existence of a weak entropy solution is established. Stability of solutions is proved in the \(L^1\)-norm.
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35L50
zbMATH DE Number: 2101853
zbMATH Keywords: conservation laws
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: global existence
zbMATH Keywords: weak entropy solution is established. Stability in the \(L^1\)-norm
author: R. M. Colombo
author: Alessandro Groli
reviewed by: V. V. Shelukhin
MaRDI profile type: Publication
full work available at URL: j.na.2003.09.022
OpenAlex ID: W2042225820
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DOI: 10.1016/J.NA.2003.09.022
description: scientific article; zbMATH DE number 2101853