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  • In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity increasing with a scalar quantity k that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely L1-integrable over space and time. We also formulate a conjecture concerning regularity of such a solution.
  • In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity increasing with a scalar quantity k that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely L1-integrable over space and time. We also formulate a conjecture concerning regularity of such a solution. (en)
Title
  • On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
  • On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions (en)
skos:prefLabel
  • On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
  • On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions (en)
skos:notation
  • RIV/00216208:11320/11:10099229!RIV12-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/08/0315), P(LC06052), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 218015
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/11:10099229
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • turbulent kinetic model; the viscosity increasing with a scalar quantity; incompressible fluid; Navier-Stokes-Fourier equations; suitable weak solution; Large data existence (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [309E9809B03D]
http://linked.open...i/riv/nazevZdroje
  • Commentationes Mathematicae Universitatis Carolinae
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
  • 52
http://linked.open...iv/tvurceVysledku
  • Bulíček, Miroslav
  • Málek, Josef
  • Lewandowski, Roger
http://linked.open...n/vavai/riv/zamer
issn
  • 0010-2628
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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