Continuity equation and vacuum regions in compressible flows

Autor:	Milan Pokorný, Antonín Novotný
Rok vydání:	2021
Předmět:	010101 applied mathematics 76N10 35Q30 Mathematics - Analysis of PDEs Mathematics (miscellaneous) Continuity equation 010102 general mathematics Mathematical analysis FOS: Mathematics Compressibility 0101 mathematics 01 natural sciences Analysis of PDEs (math.AP) Mathematics
Zdroj:	Journal of Evolution Equations. 21:2891-2922
ISSN:	1424-3202 1424-3199
DOI:	10.1007/s00028-021-00704-3
Popis:	We investigate the creation and properties of eventual vacuum regions in the weak solutions of the continuity equation, in general, and in the weak solutions of compressible Navier--Stokes equations, in particular. The main results are based on the analysis of renormalized solutions to the continuity and pure transport equations and their inter-relations which are of independent interest.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d54fa24c96d656b9cf394878205cae2c https://doi.org/10.1007/s00028-021-00704-3 Zobrazit plný text záznamu Full text from SpringerLink