Dispersive effect of the Coriolis force and the local well-posedness for the Navier-Stokes equations in the rotational framework

Tsukasa Iwabuchi, Ryo Takada

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We consider the initial value problems for the Navier-Stokes equations with the Coriolis force. We prove the local in time existence and uniqueness of the mild solution for every Ω ∈ R \ {0} and u0 ∈ Hs(R3)3 with s > 1/2. Furthermore, we give a lower bound of the existence time in terms of |Ω|. (formula presented) It follows from our lower bound that the existence time T of the solution can be taken arbitrarily large provided the speed of rotation |Ω| is sufficiently fast.

Original languageEnglish
Pages (from-to)365-385
Number of pages21
JournalFunkcialaj Ekvacioj
Volume58
Issue number3
DOIs
Publication statusPublished - Dec 26 2015

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Coriolis Force
Local Well-posedness
Navier-Stokes Equations
Lower bound
Mild Solution
Initial Value Problem
Existence and Uniqueness
Framework

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

Cite this

Dispersive effect of the Coriolis force and the local well-posedness for the Navier-Stokes equations in the rotational framework. / Iwabuchi, Tsukasa; Takada, Ryo.

In: Funkcialaj Ekvacioj, Vol. 58, No. 3, 26.12.2015, p. 365-385.

Research output: Contribution to journalArticle

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