Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-11511
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Main Title: Semiflow selection for the compressible Navier–Stokes system
Author(s): Basarić, Danica
Type: Article
URI: https://depositonce.tu-berlin.de/handle/11303/12711
http://dx.doi.org/10.14279/depositonce-11511
License: https://creativecommons.org/licenses/by/4.0/
Abstract: Although the existence of dissipative weak solutions for the compressible Navier–Stokes system has already been established for any finite energy initial data, uniqueness is still an open problem. The idea is then to select a solution satisfying the semigroup property , an important feature of systems with uniqueness. More precisely, we are going to prove the existence of a semiflow selection in terms of the three state variables: the density, the momentum, and the energy. Finally, we will show that it is possible to introduce a new selection defined only in terms of the initial density and momentum; however, the price to pay is that the semigroup property will hold almost everywhere in time.
Subject(s): semiflow selection
Navier–Stokes system
uniqueness
semigroup property
initial density
Issue Date: 30-Apr-2020
Date Available: 4-Mar-2021
Language Code: en
DDC Class: 510 Mathematik
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2020
Journal Title: Journal of Evolution Equations
Publisher: SpringerNature
Publisher DOI: 10.1007/s00028-020-00578-x
EISSN: 1424-3202
ISSN: 1424-3199
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik » FG Numerische Analysis partieller Differentialgleichungen
Appears in Collections:Technische Universität Berlin » Publications

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