One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity
type: Item
instance of: scholarly article
title: One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws with characteristics with constant multiplicity
zbMATH Open document ID: 1406.35191
author: Lei Yu
published in: Chinese Annals of Mathematics. Series B
publication date: 2018-11-15T00:00:00Z
review text: The paper is devoted to the local exact one-sided boundary null controllability of entropy solutions. The results apply to a class of non-strictly hyperbolic systems of conservation laws in one space dimension with characteristics with constant multiplicity. The solution to the mixed initial-boundary value problem means the limit of a convergent sequence of corresponding \(\varepsilon\)-approximate front tracking solutions. The main result of the paper is Theorem 1.1. The theorem gives the sufficient conditions of existence of the boundary control which guarantees zero of the solution to the equation at a fixed terminal moment.
reviewed by: Vyacheslav I. Maksimov
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 6979980
zbMATH Keywords: semi-global entropy solution
zbMATH Keywords: \(\varepsilon\)-approximate front tracking solution
zbMATH Keywords: one space dimension
Wikidata QID: Q114852291
MaRDI profile type: Publication
full work available at URL: s11401-018-0106-4
OpenAlex ID: W2898800672
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DOI: 10.1007/S11401-018-0106-4
description: scientific article; zbMATH DE number 6979980