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• W3185225036 abstract "In this paper, we mainly study large time behavior of the strong solutions to the 2-D compressible finite extensible nonlinear elastic (FENE) dumbbell model. The Fourier splitting method yields that the $L^2$ decay rate is $ln^{-l}(e+t)$ for any $linmathbb{N}$. By virtue of the time weighted energy estimate, we can improve the decay rate to $(1+t)^{-frac{1}{4}}$. Under the low-frequency condition and by the Littlewood-Paley theory, we show that the solutions belong to some Besov space with negative index and obtain the optimal $L^2$ decay rate." @default.
• W3185225036 created "2021-08-02" @default.
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• W3185225036 date "2021-07-21" @default.
• W3185225036 modified "2023-09-25" @default.
• W3185225036 title "Large time behavior of global strong solutions to the 2-D compressible FENE dumbbell model" @default.
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• W3185225036 doi "https://doi.org/10.48550/arxiv.2107.10418" @default.
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