Number of the records: 1
On a class of generalized solutions to equations describing incompressible viscous fluids
- 1.
SYSNO ASEP 0524629 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On a class of generalized solutions to equations describing incompressible viscous fluids Author(s) Abbatiello, A. (DE)
Feireisl, Eduard (MU-W) RID, SAI, ORCIDSource Title Annali di Matematica Pura ed Applicata. - : Springer - ISSN 0373-3114
Roč. 199, č. 3 (2020), s. 1183-1195Number of pages 13 s. Language eng - English Country DE - Germany Keywords generalized viscous fluid ; weak solution ; weak–strong uniqueness Subject RIV BA - General Mathematics OECD category Pure mathematics Method of publishing Open access Institutional support MU-W - RVO:67985840 UT WOS 000489537900003 EID SCOPUS 85074115644 DOI 10.1007/s10231-019-00917-x Annotation We consider a class of viscous fluids with a general monotone dependence of the viscous stress on the symmetric velocity gradient. We introduce the concept of dissipative solution to the associated initial boundary value problem inspired by the measure-valued solutions for the inviscid (Euler) system. We show the existence as well as the weak–strong uniqueness property in the class of dissipative solutions. Finally, the dissipative solution enjoying certain extra regularity coincides with a strong solution of the same problem. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.1007/s10231-019-00917-x
Number of the records: 1