About: Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid     Goto   Sponge   NotDistinct   Permalink

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Description
  • We consider a system of PDEs describing steady motions of an incompressible chemically reacting non-Newtonian fluid. The system of governing equations is composed of the convection diffusion equation for concentration and generalized Navier-Stokes equations where the generalized viscosity depends polynomially on the shear rate (the modulus of the symmetric part of the velocity gradient) and the coupling is due to the dependence of the power-law index on the concentration. This dependence of the power-law index on the solution itself causes the main difficulties in the analysis of the relevant boundary value problem. We generalize the Lipschitz approximation method and show the existence of a weak solution provided that the minimal value of the power-law exponent is bigger than d/2.
  • We consider a system of PDEs describing steady motions of an incompressible chemically reacting non-Newtonian fluid. The system of governing equations is composed of the convection diffusion equation for concentration and generalized Navier-Stokes equations where the generalized viscosity depends polynomially on the shear rate (the modulus of the symmetric part of the velocity gradient) and the coupling is due to the dependence of the power-law index on the concentration. This dependence of the power-law index on the solution itself causes the main difficulties in the analysis of the relevant boundary value problem. We generalize the Lipschitz approximation method and show the existence of a weak solution provided that the minimal value of the power-law exponent is bigger than d/2. (en)
Title
  • Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
  • Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid (en)
skos:prefLabel
  • Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid
  • Existence Analysis for a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid (en)
skos:notation
  • RIV/00216208:11320/14:10282709!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(LL1202)
http://linked.open...iv/cisloPeriodika
  • 46
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 15702
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10282709
http://linked.open...riv/jazykVysledku
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  • convection diffusion equation; concentration dependent power-law exponent; existence of weak solution; non-Newtonian fluid; Lipschitz truncation method; Sobolev spaces with variable exponent (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [602AF37A0B3C]
http://linked.open...i/riv/nazevZdroje
  • SIAM Journal on Mathematical Analysis
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2014
http://linked.open...iv/tvurceVysledku
  • Bulíček, Miroslav
  • Pustějovská, Petra
http://linked.open...ain/vavai/riv/wos
  • 000344746800006
issn
  • 0036-1410
number of pages
http://bibframe.org/vocab/doi
  • 10.1137/130927589
http://localhost/t...ganizacniJednotka
  • 11320
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