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

Jaewook Ahn; Junha Kim; Jihoon Lee

doi:10.1007/s00208-020-02122-1

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

Jaewook Ahn
, Junha Kim
, Jihoon Lee

Department of Mathematics

Chung-Ang University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	259-289
Number of pages	31
Journal	Mathematische Annalen
Volume	383
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-020-02122-1
State	Published - Jun 2022

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title = "Coriolis effect on temporal decay rates of global solutions to the fractional Navier–Stokes equations",

abstract = "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.",

author = "Jaewook Ahn and Junha Kim and Jihoon Lee",

note = "Publisher Copyright: {\textcopyright} 2021, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

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doi = "10.1007/s00208-020-02122-1",

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TY - JOUR

T1 - Coriolis effect on temporal decay rates of global solutions to the fractional Navier–Stokes equations

AU - Ahn, Jaewook

AU - Kim, Junha

AU - Lee, Jihoon

PY - 2022/6

Y1 - 2022/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85098999781

U2 - 10.1007/s00208-020-02122-1

DO - 10.1007/s00208-020-02122-1

M3 - Article

AN - SCOPUS:85098999781

SN - 0025-5831

VL - 383

SP - 259

EP - 289

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

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

Abstract

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