Advances in Differential Equations

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

Youngwoo Koh, Sanghyuk Lee, and Ryo Takada

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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
06328343

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.


Export citation