Minimizing movements for dissipative systems that are not gradient flows

• Autorzy: Mimura Yoshifumi

Identyfikatory

DOI

10.4064/ba221129-18-4

• Języki publikacji: EN

Abstrakty

EN

The time discretization method, which is a method of constructing time global solutions for gradient flows, is applied to dissipative systems in Hilbert spaces, which are not necessarily gradient flows. Equations with perturbation terms added to gradient flows are considered, and when the perturbation term is smaller than the principal term in an analytical sense, the dissipative structure of the energy is maintained, and the existence of time global solutions is shown by the time discretization method.

Słowa kluczowe

EN

gradient flows; energy dissipation; time discretization methods; global solutions

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2022
• Tom: Vol. 70, no. 2
• Strony: 133--149
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Mimura Yoshifumi

• Department of Mathematics, College of Humanities and Sciences, Nihon University, Tokyo 156-8550, Japan

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).