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On the motion of incompressible inhomogeneous Euler-Korteweg fluids
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SYSNO ASEP 0349263 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title On the motion of incompressible inhomogeneous Euler-Korteweg fluids Author(s) Bulíček, M. (CZ)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Málek, J. (CZ)
Shvydkoy, R. (US)Source Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 3, č. 3 (2010), s. 497-515Number of pages 19 s. Language eng - English Country US - United States Keywords Korteweg fluid ; inhomogeneous Euler fluid ; Korteweg stress ; local-in-time well-posedness ; smooth solution Subject RIV BA - General Mathematics R&D Projects LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA201/09/0917 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) EID SCOPUS 84864591003 DOI 10.3934/dcdss.2010.3.497 Annotation We study a system of equations governing evolution of incompressible inhomogeneous Euler-Korteweg fluids that describe a class of incompressible elastic materials. A local well-posedness theory is developed on a bounded smooth domain with no-slip boundary condition on velocity and vanishing gradient of density. The cases of open space and periodic box are also considered, where the local existence and uniqueness of solutions is shown in Sobolev spaces up to the critical smoothness n/2+1. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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