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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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

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

First available in Project Euclid: 1 July 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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.

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