Solution of a transport equation with discontinuous coefficients

• Autorzy: Das Abhishek , Joseph K. T.

Identyfikatory

DOI

10.1515/jaa-2021-2047

• Języki publikacji: EN

Abstrakty

EN

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 {−1, 0, 1}. 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.

Słowa kluczowe

EN

transport equation; discontinuous coefficients; explicit solution

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 2
• Strony: 219--238
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Das Abhishek

• Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Sharadanagar, Bangalore 560065, India

autor

Joseph K. T.

• Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Sharadanagar, Bangalore 560065, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)