Asymptotic stability of stationary Navier–Stokes flow in Besov spaces-Reference-Cited by-同舟云学术

Asymptotic stability of stationary Navier–Stokes flow in Besov spaces

Published:2021-07-28 Issue: Volume: Page:1-22
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Cunanan Jayson¹,Okabe Takahiro²,Tsutsui Yohei³

Affiliation:

1. Department of Mathematics, Saitama University, Saitama, Japan. E-mail: jcunanan@mail.saitama-u.ac.jp

2. Graduate School of Engineering Science, Osaka University, Osaka, Japan. E-mail: okabe@sigmath.es.osaka-u.ac.jp

3. Department of Mathematics, Kyoto University, Kyoto, Japan. E-mail: ytsutsui@math.kyoto-u.ac.jp

Abstract

We discuss the asymptotic stability of stationary solutions to the incompressible Navier–Stokes equations on the whole space in Besov spaces. A critical estimate for the semigroup generated by the Laplacian with a perturbation is the main ingredient of the argument.

Publisher

IOS Press

Subject

General Mathematics

Reference22 articles.

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