Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104787" target="_blank" >RIV/00216208:11320/11:10104787 - isvavai.cz</a>
Result on the web
<a href="http://www.ems-ph.org/journals/show_issue.php?issn=1463-9963&vol=13&iss=4" target="_blank" >http://www.ems-ph.org/journals/show_issue.php?issn=1463-9963&vol=13&iss=4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/IFB/270" target="_blank" >10.4171/IFB/270</a>
Alternative languages
Result language
angličtina
Original language name
Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
Original language description
We consider a system which describes the behavior of a binary mixture of immiscible incompressible fluids with shear dependent viscosity by means of the diffuse interface approach. This system consists of Navier-Stokes type equations, characterized by anonlinear stress-strain law, which are nonlinearly coupled with a convective Cahn-Hilliard equation for the order parameter. We analyze the corresponding dynamical system and, by means of the short trajectory method, we prove the existence of global andexponential attractors. We also discuss the dependence of an upper bound of the fractal dimension in terms of the physical parameters of the system.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GA201%2F08%2F0315" target="_blank" >GA201/08/0315: Mathematical analysis of complex systems in fluid mechanics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Interfaces and Free Boundaries
ISSN
1463-9963
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
24
Pages from-to
507-530
UT code for WoS article
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EID of the result in the Scopus database
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