L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3

L^2$-asymptotic stability of mild solutions to Navier-Stokes system in $R^3

We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an asymptotic stability is established under arbitrarily large initial $L^2$-perturbations.

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Bibliographic Details
Main Authors: Karch, Grzegorz, Pilarczyk, Dominika, Schonbek, Maria E
Format: Journal Article
Language:English
Published: 30-08-2013
Subjects:
Mathematics - Analysis of PDEs
Online Access:Get full text
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Summary:We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an asymptotic stability is established under arbitrarily large initial $L^2$-perturbations.
DOI:10.48550/arxiv.1308.6667