Asymptotic behavior of solution of Whitham-Broer-Kaup type equations with negative dispersion

• Autorzy: Bedjaoui Nabil , Kumar Rajesh , Mammeri Youcef

Identyfikatory

DOI

10.1515/jaa-2021-2066

• Języki publikacji: EN

Abstrakty

EN

In this work, we discuss the long time behavior of solutions of the Whitham-Broer-Kaup system with Lipschitz nonlinearity and negative dispersion term. We prove the global well-posedness when α + β² < 0 as well as the convergence to 0 of small solutions at rate O(t^−1/2).

Słowa kluczowe

EN

WBK equation; dispersive inequality; asymptotic behavior

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 1
• Strony: 109--119
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Bedjaoui Nabil

• Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80039 Amiens, France

autor

Kumar Rajesh

• Birla Institute of Technology and Science Pilani, Pilani 333031, Rajasthan, India

autor

Mammeri Youcef

• Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, CNRS UMR 7352, Université de Picardie Jules Verne, 80039 Amiens, France

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).