Advances in Differential Equations

Dispersive estimates for the Navier-Stokes equations in the rotational framework

Youngwoo Koh, Sanghyuk Lee, and Ryo Takada

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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 dispersion 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).

Article information

Source
Adv. Differential Equations, Volume 19, Number 9/10 (2014), 857-878.

Dates
First available in Project Euclid: 1 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.ade/1404230126

Mathematical Reviews number (MathSciNet)
MR3229600

Zentralblatt MATH identifier
1358.76023

Subjects
Primary: 76U05: Rotating fluids 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D03: Existence, uniqueness, and regularity theory [See also 35Q30]

Citation

Koh, Youngwoo; Lee, Sanghyuk; Takada, Ryo. Dispersive estimates for the Navier-Stokes equations in the rotational framework. Adv. Differential Equations 19 (2014), no. 9/10, 857--878. https://projecteuclid.org/euclid.ade/1404230126


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Advances in Differential Equations

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