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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10289965%21RIV15-MSM-11320___
rdf:type
n15:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.4171/ZAA/1511
dcterms: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 a convective 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. 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 a convective 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.
dcterms:title
Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity
skos:prefLabel
Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity
skos:notation
RIV/00216208:11320/14:10289965!RIV15-MSM-11320___
n3:aktivita
n4:I
n3:aktivity
I
n3:cisloPeriodika
3
n3:dodaniDat
n9:2015
n3:domaciTvurceVysledku
n18:1528904
n3:druhVysledku
n5:J
n3:duvernostUdaju
n8:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
41915
n3:idVysledku
RIV/00216208:11320/14:10289965
n3:jazykVysledku
n16:eng
n3:klicovaSlova
regularity of solutions; Cahn-Hilliard equations; diffuse interfaces; binary mixtures; shear dependent viscosity; Incompressible viscous fluids
n3:klicoveSlovo
n6:Cahn-Hilliard%20equations n6:Incompressible%20viscous%20fluids n6:binary%20mixtures n6:shear%20dependent%20viscosity n6:regularity%20of%20solutions n6:diffuse%20interfaces
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[75D5973C18C7]
n3:nazevZdroje
Zeitschrift für Analysis und ihre Anwendung
n3:obor
n11:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n9:2014
n3:svazekPeriodika
33
n3:tvurceVysledku
Grasselli, Maurizio Pražák, Dalibor
n3:wos
000340056600003
s:issn
0232-2064
s:numberOfPages
18
n17:doi
10.4171/ZAA/1511
n14:organizacniJednotka
11320