Dispersive estimates for the navier-stokes equations in the rotational framework

Youngwoo Koh, Sanghyuk Lee, Ryo Takada

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We consider the Navier-Stokes equations with the Coriolis force (NSC). We establish an improved dispersive estimate for the linear group associated with (NSC), and derive the two-dimensional disper-sion effect of the Coriolis forces. As applications, we prove the unique existence of global in time mild solutions for the initial value problem, and the unique existence of time periodic solutions to (NSC).

Original languageEnglish
Pages (from-to)857-878
Number of pages22
JournalAdvances in Differential Equations
Volume19
Issue number9-10
Publication statusPublished - 2014
Externally publishedYes

Fingerprint

Dispersive Estimates
Coriolis force
Coriolis Force
Navier Stokes equations
Navier-Stokes Equations
Time-periodic Solutions
Initial value problems
Mild Solution
Linear Group
Initial Value Problem
Framework

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Dispersive estimates for the navier-stokes equations in the rotational framework. / Koh, Youngwoo; Lee, Sanghyuk; Takada, Ryo.

In: Advances in Differential Equations, Vol. 19, No. 9-10, 2014, p. 857-878.

Research output: Contribution to journalArticle

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