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Generalized solutions to models of compressible viscous fluids
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SYSNO ASEP 0535783 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Generalized solutions to models of compressible viscous fluids Author(s) Abbatiello, A. (DE)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Source Title Discrete and Continuous Dynamical Systems. - : AIMS Press - ISSN 1078-0947
Roč. 41, č. 1 (2021), s. 1-28Number of pages 28 s. Language eng - English Country US - United States Keywords compressible fluid ; defect measure ; dissipative solution ; non-homogenous boundary data ; non-linear viscous fluid Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000591602300002 EID SCOPUS 85096764775 DOI 10.3934/dcds.2020345 Annotation We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides with the strong solution as long as the latter exists (weak–strong uniqueness) and they solve the problem in the classical sense as soon as they are smooth (compatibility). We consider general models of compressible viscous fluids with non–linear viscosity tensor and non–homogeneous boundary conditions, for which the problem of existence of global–in–time weak/strong solutions is largely open. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address http://dx.doi.org/10.3934/dcds.2020345
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