Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system

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TitleInitial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system
Publication TypeReport Series
Year of Publication2017
AuthorsChoudhury AP, Crippa G, Spinolo LV
SeriesIMATI Report Series
Number17-02
Pagination19 p.
Date PublishedJanuary
Place PublishedPavia
PublisherCNR-IMATI
Type of WorkWorking paper
Abstract

We establish existence and uniqueness results for initial boundary value problems with nearly incompressible vector fields. We then apply our results to establish well-posedness of the initial-boundary value problem for the Keyfitz and Kranzer system of conservation laws in several space dimensions.

KeywordsInitial-boundary value problems, Keyfitz and Kranzer, Systems of conservation laws
URIhttp://irs.imati.cnr.it/reports/irs17-02
Citation Keyirs17-02