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• W2912372114 abstract "Consider the Cauchy problem for the incompressible Oldroyd-B model in . For the case , global existence results for weak solutions were derived by Lions and Masmoudi (2000 Chin. Ann. Math. B 21 131–46), allowing the initial data to be arbitrarily large, whereas it is not known whether this assertion is also true for . In this article, time decay estimates for weak solutions subject to arbitrary large data are given for the case . Furthermore, time-decay estimates are also given for strong solutions for , however, for small initial data. The decay estimates obtained are of the form that the th order derivatives in decay as for as . Note that the coupling constant does not need to be small throughout this paper." @default.
• W2912372114 created "2019-02-21" @default.
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• W2912372114 date "2019-01-29" @default.
• W2912372114 modified "2023-09-30" @default.
• W2912372114 title "Optimal decay rates for solutions to the incompressible Oldroyd-B model in $mathbb{R}^3$" @default.
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• W2912372114 doi "https://doi.org/10.1088/1361-6544/aaeec7" @default.
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