Authors:	Danchin, Raphaël Tolksdorf, Patrick
Title:	Critical regularity issues for the compressible Navier–Stokes system in bounded domains
Online publication date:	20-Jan-2023
Year of first publication:	2022
Language:	english
Abstract:	We are concerned with the barotropic compressible Navier–Stokes system in a bounded domain of Rd (with d≥2). In a critical regularity setting, we establish local well-posedness for large data with no vacuum and global well-posedness for small perturbations of a stable constant equilibrium state. Our results rely on new maximal regularity estimates—of independent interest—for the semigroup of the Lamé operator, and of the linearized compressible Navier–Stokes equations.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-8416
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Mathematische Annalen Version of Record (VoR)
Publisher:	Springer
Publisher place:	Berlin u.a.
Issue date:	2022
ISSN:	1432-1807
Publisher DOI:	10.1007/s00208-022-02501-w
Appears in collections:	DFG-491381577-H