Strichartz estimates for the Euler equations in the rotational framework

Youngwoo Koh; Sanghyuk Lee; Ryo Takada

doi:10.1016/j.jde.2013.09.017

Strichartz estimates for the Euler equations in the rotational framework

Youngwoo Koh, Sanghyuk Lee, Ryo Takada

SCI - Mathematics

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

16 Citations (Scopus)

Abstract

We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.

Original language	English
Pages (from-to)	707-744
Number of pages	38
Journal	Journal of Differential Equations
Volume	256
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2013.09.017
Publication status	Published - 2014 Jan 15

Keywords

Coriolis force
Euler equations
Strichartz estimates

ASJC Scopus subject areas

Analysis
Applied Mathematics

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abstract = "We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.",

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AU - Koh, Youngwoo

AU - Lee, Sanghyuk

AU - Takada, Ryo

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N2 - We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.

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KW - Euler equations

KW - Strichartz estimates

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