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On the motion of incompressible inhomogeneous Euler-Korteweg fluids
Type of publication: Article
Citation: ncmm-2009-041
Publication status: Published
Journal: Discrete and Continuous Dynamical Systems - Series S
Volume: 3
Number: 3
Year: 2010
Pages: 497-515
Note: NCMM Preprint no. 2009-041
URL: http://www.karlin.mff.cuni.cz/...
DOI: 10.3934/dcdss.2010.3.497
Abstract: 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 .
Keywords: inhomogeneous Euler fluid, Korteweg fluid, Korteweg stress, local-in-time well-posedness, smooth solution
Authors Bulíček, Miroslav
Feireisl, Eduard
Málek, Josef
Shvydkoy, Roman
Added by: [JH]
Total mark: 0
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