Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289965" target="_blank" >RIV/00216208:11320/14:10289965 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/ZAA/1511" target="_blank" >http://dx.doi.org/10.4171/ZAA/1511</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/ZAA/1511" target="_blank" >10.4171/ZAA/1511</a>

Result language
angličtina
Original language name
Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity
Original language description
We analyze a diffuse interface model describing the behavior of a mixture of two incompressible fluids. More precisely, we consider Navier-Stokes type equations with power-law like shear dependent viscosity. Such equations are nonlinearly coupled with aconvective Cahn-Hilliard equation for the order parameter. The resulting system is endowed with no-slip and no-flux boundary conditions. We prove some regularity properties of weak solutions under rather general conditions. This is a generalization of previous results already proven for single fluids. Some consequences of such results are also addressed.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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