Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces

2017/07/07 by Cunanan, Jayson, Okabe, Takahiro, Tsutsui, Yohei
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.02016

Abstract

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

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