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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
46/2014

Robustness of strong solutions to the compressible Navier-Stokes system

Peter Bella, Eduard Feireisl, Bum Ja Jin and Antonín Novotný

Abstract

We consider the Navier-Stokes system describing the time evolution of a compressible barotropic fluid confined to a bounded spatial domain in the 3-D physical space, supplemented with the Navier's slip boundary conditions. It is shown that the class of global in time strong solutions is robust with respect to small perturbations of the initial data. Explicit qualitative estimates are given also in terms of the shape of the underlying physical domain, with applications to problems posed on thin cylinders.

Received:
Apr 11, 2014
Published:
Apr 22, 2014

Related publications

inJournal
2015 Repository Open Access
Peter Bella, Eduard Feireisl, Bum Ja Jin and Antonín Novotný

Robustness of strong solutions to the compressible Navier-Stokes system

In: Mathematische Annalen, 362 (2015) 1-2, pp. 281-303