Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping

• Autorzy: Hong Gimyong , Hong Hakho

Identyfikatory

DOI

10.1515/jaa-2021-2082

• Języki publikacji: EN

Abstrakty

EN

We are concerned with the stability of a 1-D coupled Rayleigh beam-string transmission system.We obtain the polynomial decay rate t−1 or the exponential decay rate for the given transmission system whether the frictional damping is only effective in the beam part or the string part, respectively. This paper generalizes the recent result in [Y.-F. Li, Z.-J. Han and G.-Q. Xu, Explicit decay rate for coupled string-beam system with localized frictional damping, Appl. Math. Lett. 78 (2018), 51-58]. The main ingredient of the proof is some careful analysis for the Rayleigh beam and string transmission system.

Słowa kluczowe

EN

transmission problem; Rayleigh beam; string; energy Decay

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 1
• Strony: 77--90
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Hong Gimyong

• Faculty of Mathematics, University of Sciences, Pyongyang, Democratic People’s Republic of Korea

autor

Hong Hakho

• Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People’s Republic of Korea

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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).