Year: 2020
Type: article
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 thesemigroup property, an important feature of systems with uniqueness. More precisely, we are going to prove the existence of asemiflow selectionin 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.
Source: Journal of Evolution Equations
Author: Danica Basarić
Institution: Technische Universität Berlin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,750
Funder: Einstein Stiftung Berlin
OpenAlex ID: W2970968022