Original title: Zobecněné Stokesovy systémy studované z pohledu teoretické analýzy
Translated title: Generalized Stokes systems - theoretical analysis approach
Authors: Holeček, Martin ; Pokorný, Milan (referee) ; Málek, Josef (advisor)
Document type: Master’s theses
Year: 2007
Language: cze
Abstract: We consider steady flows of homogenous incompressible fluid described by generalized Stokes system. We study two models, first with shear-rate dependent viskosity and second with pressure and shear-rate dependent viskosity. We investigate internal flows in bounded domains subject to Navier's boundary condition. First, to show the difference, we present proofs of existence and uniqueness of solutions for both systems. Then we investigate, what are the assumptions allowing to take the fluid mechanics limit, as Navier's boundary conditions approximate first no-slip and then (perfect) slip boundary conditions. Finally, we consider for simplicity specially periodic problem and show regularity result (integrability of the second derivatives of the velocity and the first derivatives of the pressure).

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/13293

Permalink: http://www.nusl.cz/ntk/nusl-289211


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Master’s theses