Asymptotic profile of solutions to the linearized compressible Navier-Stokes flow

2016/03/31 by Ruy Coimbra Charão, Charao, Ruy Coimbra, Ryo Ikehata +1
Engineering · Mathematics · #35B40 #35C20 #35Q30 #76N99 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1603.09464

openalex publication_date 2016/03/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the asymptotic behavior as time goes to infinity of the L²-norm of the velocity of the linearized compressible Navier-Stokes equations in \bf Rⁿ (n ≥ 2). As an application we shall study the optimality of the decay rate for the L²-norm of the velocity by deriving the decay estimate from below as time goes to infinity.

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