Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-8416
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 |
Files in This Item:
File | Description | Size | Format | ||
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critical_regularity_issues_fo-20221124154016872.pdf | 784.81 kB | Adobe PDF | View/Open |