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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F11%3A10099229%21RIV12-GA0-11320___
rdf:type
n14:Vysledek skos:Concept
dcterms:description
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.
dcterms:title
On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
skos:prefLabel
On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
skos:notation
RIV/00216208:11320/11:10099229!RIV12-GA0-11320___
n14:predkladatel
n15:orjk%3A11320
n4:aktivita
n13:P n13:Z
n4:aktivity
P(GA201/08/0315), P(LC06052), Z(MSM0021620839)
n4:cisloPeriodika
1
n4:dodaniDat
n7:2012
n4:domaciTvurceVysledku
n11:7024398 n11:1315595
n4:druhVysledku
n16:J
n4:duvernostUdaju
n19:S
n4:entitaPredkladatele
n18:predkladatel
n4:idSjednocenehoVysledku
218015
n4:idVysledku
RIV/00216208:11320/11:10099229
n4:jazykVysledku
n10:eng
n4:klicovaSlova
turbulent kinetic model; the viscosity increasing with a scalar quantity; incompressible fluid; Navier-Stokes-Fourier equations; suitable weak solution; Large data existence
n4:klicoveSlovo
n5:incompressible%20fluid n5:suitable%20weak%20solution n5:Large%20data%20existence n5:the%20viscosity%20increasing%20with%20a%20scalar%20quantity n5:Navier-Stokes-Fourier%20equations n5:turbulent%20kinetic%20model
n4:kodStatuVydavatele
CZ - Česká republika
n4:kontrolniKodProRIV
[309E9809B03D]
n4:nazevZdroje
Commentationes Mathematicae Universitatis Carolinae
n4:obor
n12:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
3
n4:projekt
n6:LC06052 n6:GA201%2F08%2F0315
n4:rokUplatneniVysledku
n7:2011
n4:svazekPeriodika
52
n4:tvurceVysledku
Lewandowski, Roger Bulíček, Miroslav Málek, Josef
n4:zamer
n17:MSM0021620839
s:issn
0010-2628
s:numberOfPages
25
n9:organizacniJednotka
11320