On Unsteady Flows of Implicitly Constituted Incompressible Fluids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10124069" target="_blank" >RIV/00216208:11320/12:10124069 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/110830289" target="_blank" >http://dx.doi.org/10.1137/110830289</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/110830289" target="_blank" >10.1137/110830289</a>

Result language
angličtina
Original language name
On Unsteady Flows of Implicitly Constituted Incompressible Fluids
Original language description
We consider unsteady flows of incompressible fluids with a general implicit constitutive equation relating the deviatoric part of the Cauchy stress and the symmetric part of the velocity gradient in such a way that it leads to a maximal monotone (possibly multivalued) graph and the rate of dissipation is characterized by the sum of a Young function. Such a framework is very robust and includes, among others, classical power-law fluids, stress power-law fluids, fluids with activation criteria of Binghamor Herschel--Bulkley type, and shear rate--dependent fluids with discontinuous viscosities as special cases. We establish long-time and large-data existence of weak solution to such a system completed by the initial and the Navier slip boundary conditions in both the subcritical and supercritical cases. We use tools such as Orlicz functions, properties of spatially dependent maximal monotone operators, and Lipschitz approximations of Bochner functions taking values in Orlicz--Sobolev spa
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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