About: Regularity Results for a Cahn-Hilliard-Navier-Stokes System with Shear Dependent Viscosity     Goto   Sponge   NotDistinct   Permalink

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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. (en)
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 (en)
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 (en)
skos:notation
  • RIV/00216208:11320/14:10289965!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
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  • 41915
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  • RIV/00216208:11320/14:10289965
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  • regularity of solutions; Cahn-Hilliard equations; diffuse interfaces; binary mixtures; shear dependent viscosity; Incompressible viscous fluids (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [75D5973C18C7]
http://linked.open...i/riv/nazevZdroje
  • Zeitschrift für Analysis und ihre Anwendung
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http://linked.open...v/svazekPeriodika
  • 33
http://linked.open...iv/tvurceVysledku
  • Grasselli, Maurizio
  • Pražák, Dalibor
http://linked.open...ain/vavai/riv/wos
  • 000340056600003
issn
  • 0232-2064
number of pages
http://bibframe.org/vocab/doi
  • 10.4171/ZAA/1511
http://localhost/t...ganizacniJednotka
  • 11320
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