Coriolis effect on temporal decay rates of global solutions to the fractional Navier-Stokes equations

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초록

The incompressible fractional Navier-Stokes equations in the rotational framework is considered. We establish the global existence result and temporal decay estimate for a unique smooth solution when the speed of rotation is sufficiently rapid. It is found that the strong rotational effect enhances the temporal decay rate of a certain norm of the velocity.

키워드

EULER EQUATIONSWELL-POSEDNESSREGULARITYSOLVABILITYSOLIDSMOTION
제목
Coriolis effect on temporal decay rates of global solutions to the fractional Navier-Stokes equations
저자
Ahn, JaewookKim, JunhaLee, Jihoon
DOI
10.1007/s00208-020-02122-1
발행일
2022-06
유형
Article
저널명
Mathematische Annalen
383
1-2
페이지
259 ~ 289