Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law

• Autorzy: Yoshida Natsumi

Identyfikatory

DOI

10.1515/jaa-2022-1021

• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation law where the far field constant state is prescribed. We prove that the solution of the Cauchy problem tends toward the constant state as time goes to infinity.

Słowa kluczowe

EN

diffusive dispersive conservation law; non-viscous diffusive flux; convex flux; asymptotic behavior; constant state

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 251--259
• Opis fizyczny: Bibliogr. 43 poz.

Twórcy

autor

Yoshida Natsumi

• Graduate Faculty of Interdisciplinary Research Faculty of Education, University of Yamanashi, Kofu, Yamanashi 400-8510, Japan

• https://orcid.org/0000-0001-5231-5096

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).