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- W3213532058 abstract "In this paper, we mainly study the long-time dynamical behaviors of 2D nonlocal stochastic Swift–Hohenberg equations with multiplicative noise from two perspectives. First, by adopting the analytic semigroup theory, we prove the upper semi-continuity of random attractors in the Sobolev space H02(U), as the coefficient of the multiplicative noise approaches zero. Then, we extend the classical “stochastic Gronwall’s lemma,” making it more convenient in applications. Based on this improvement, we are allowed to use the analytic semigroup theory to establish the existence of ergodic invariant measures." @default.
- W3213532058 created "2021-11-22" @default.
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- W3213532058 date "2021-11-01" @default.
- W3213532058 modified "2023-10-18" @default.
- W3213532058 title "Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise" @default.
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- W3213532058 doi "https://doi.org/10.1063/5.0039187" @default.
- W3213532058 hasPublicationYear "2021" @default.
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