NAVIER–STOKES SYSTEM ON THE FLAT CYLINDER AND UNIT SQUARE WITH SLIP BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

NAVIER–STOKES SYSTEM ON THE FLAT CYLINDER AND UNIT SQUARE WITH SLIP BOUNDARY CONDITIONS

Published:2010-04 Issue:02 Volume:12 Page:325-349
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

DINABURG EFIM¹,LI DONG²,SINAI YAKOV G.³

Affiliation:

1. Institute of Physics of Earth, Russia Academy of Sciences, Bolshaya Grusinskaya, dom 10, Moscow 123999, Russia

2. Department of Mathematics, University of Iowa, 14, MacLean Hall, Iowa City, IA 52242, USA

3. Mathematics Department, Princeton University, Princeton, NJ 08544, USA

Abstract

We study the decay of Fourier modes of solutions to the two-dimensional Navier–Stokes System on a flat cylinder and the unit square with slip boundary conditions. Under some suitable assumptions on the initial velocity, we obtain quantitative decay estimates of the Fourier modes.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199710003828

Reference16 articles.

1. Navier-Stokes Equations

2. A Mathematical Introduction to Fluid Mechanics

3. Applied Analysis of the Navier-Stokes Equations

4. Exponential decay rate of the power spectrum for solutions of the Navier–Stokes equations

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