Advances in Differential Equations
- Adv. Differential Equations
- Volume 19, Number 9/10 (2014), 857-878.
Dispersive estimates for the Navier-Stokes equations in the rotational framework
Youngwoo Koh, Sanghyuk Lee, and Ryo Takada
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