Solution of a transport equation with discontinuous coefficients

In this article, we study initial and initial-boundary value problems for a non-strictly hyperbolic system whose characteristic speed is not smooth and takes values in . We construct an explicit formula for the weak solution. We also study the interaction of waves and the large time asymptotic behav...

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Bibliographic Details
Published inJournal of applied analysis Vol. 27; no. 2; pp. 219 - 238
Main Authors Das, Abhishek, Joseph, K. T.
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 01.12.2021
Walter de Gruyter GmbH
Subjects
35F61
35L50
35R05
Asymptotic properties
Boundary value problems
Conservation laws
discontinuous coefficients
explicit solution
Hyperbolic systems
Transport equation
Transport equations
Velocity
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Summary:In this article, we study initial and initial-boundary value problems for a non-strictly hyperbolic system whose characteristic speed is not smooth and takes values in . We construct an explicit formula for the weak solution. We also study the interaction of waves and the large time asymptotic behavior of a solution for the case when the initial data is periodic with zero mean over the period and also for the case when the initial data has compact support.
ISSN:1425-6908
1869-6082
DOI:10.1515/jaa-2021-2047