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- W2949357306 abstract "We study backward stability of a pullback attractor especially for a delay equation. We introduce a new concept of a backward attractor, which is defined by a compact, pullback attracting and dividedly invariant family. We then show the equivalence between existence of a backward attractor and backward stability of the pullback attractor, and present some criteria by using the backward limit-set compactness of the system. In the application part, we consider the Navier-Stokes equation with a nonuniform Lipschitz delay term and a backward tempered force. Based on the fact that the delay does not change the backward bounds of the velocity field and external forces, we establish the backward-uniform estimates and obtain a backward attractor, which leads to backward stability of the pullback attractor. Some special cases of variable delay and distributed delay are discussed." @default.
- W2949357306 created "2019-06-27" @default.
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- W2949357306 date "2020-06-01" @default.
- W2949357306 modified "2023-09-26" @default.
- W2949357306 title "Backward Stability and Divided Invariance of an Attractor for the Delayed Navier-Stokes Equation" @default.
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- W2949357306 doi "https://doi.org/10.11650/tjm/190603" @default.
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