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Description
  • Je vybudována matematická teorie pro ustálená a časově závislá proudění tekutin s nespojitými konstitutivními rovnicemi. Uvažujeme model tekutiny, která vykazuje při dosažení určité kritické hodnoty rzchlosti smyku skokovou singularitu v yobecněné viskozitě mocninného typu. Pomocí nástrojů jako jsou Youngovy míry, maximální monotónní operátory, kompaktní vnoření a energetická rovnost, ukážemě existenci slabého řešení uvažovaného problému. (cs)
  • We establish the mathematical theory for the steady and unsteady flows of fluids with discontinuous constitutive equations. We consider a model for a fluid that at certain critical value of the shear rate exhibits jumps in the generalized viscosity of a power-law type. Using tools such as Young measures, maximal monotone operators, compact embeddings and energy equality we prove the existence of a solution to the problem in consideration. In this approach, Galerkin approximations converge strongly to the solution of the original problem.
  • We establish the mathematical theory for the steady and unsteady flows of fluids with discontinuous constitutive equations. We consider a model for a fluid that at certain critical value of the shear rate exhibits jumps in the generalized viscosity of a power-law type. Using tools such as Young measures, maximal monotone operators, compact embeddings and energy equality we prove the existence of a solution to the problem in consideration. In this approach, Galerkin approximations converge strongly to the solution of the original problem. (en)
Title
  • On flows of an incompressible fluid with a discontinuous power-law like rheology
  • Proudění nestlačitelné tekutiny s nespojitou rheologií mocninného typu (cs)
  • On flows of an incompressible fluid with a discontinuous power-law like rheology (en)
skos:prefLabel
  • On flows of an incompressible fluid with a discontinuous power-law like rheology
  • Proudění nestlačitelné tekutiny s nespojitou rheologií mocninného typu (cs)
  • On flows of an incompressible fluid with a discontinuous power-law like rheology (en)
skos:notation
  • RIV/00216208:11320/07:00004388!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 531;546
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0934), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 3-4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 439229
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00004388
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • flows; incompressible; fluid; discontinuous; power-law; rheology (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [B7759FFC6300]
http://linked.open...i/riv/nazevZdroje
  • Computers and Mathematics with Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 53
http://linked.open...iv/tvurceVysledku
  • Málek, Josef
http://linked.open...n/vavai/riv/zamer
issn
  • 0898-1221
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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