Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level

• Autorzy: Lin Qiang , Luo Yongbing

Identyfikatory

DOI

10.7494/OpMath.2022.42.2.219

• Języki publikacji: EN

Abstrakty

EN

In this paper, we study a series of fourth-order strain wave equations involving dissipative structure, which appears in elasto-plastic-microstructure models. By some differential inequalities, we derive the finite time blow up results and the estimates of the upper bound blowup time with arbitrary positive initial energy. We also discuss the influence mechanism of the linear weak damping and strong damping on blowup time, respectively.

Słowa kluczowe

EN

fourth-order strain wave equation; arbitrary positive initial energy; blowup; blowup time

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 2
• Strony: 219--238
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Lin Qiang

• College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, P.R. China

autor

Luo Yongbing

• College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, P.R. China

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).