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

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).

Citation

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

Information

Published: September/October 2014
First available in Project Euclid: 1 July 2014

zbMATH: 1358.76023
MathSciNet: MR3229600

Subjects:
Primary: 35Q30, 76D03, 76U05

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.19 • No. 9/10 • September/October 2014
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