About: Differentiability of the solution operator and the dimension of the attractor for certain power-law fluids     Goto   Sponge   NotDistinct   Permalink

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Description
  • Zabýváme se dynamikou 2d nestlačitelné homogenní tekutiny polynomiálního typu, kde viskozita roste jako $|Du|^{p-2}$, $p>2$ a $Du$ je symetrický gradient rychlosti. Díky nedávným výsledkům o regularitě (Kaplický, Málek, Stará) dokážeme, že operátor řešení je (Fréchetovsky) diferencovatelný. Pomocí Ljapunovských exponentů pak odhadneme dimenzi exponenciálního atraktoru. (cs)
  • We study the dynamics of a two-dimensional homogenenous incompressible fluid of power-law type, with the viscosity behaving like $(1+|\Du|)^{p-2}$, $p\ge2$. Here $\Du$ is the symmetric velocity gradient. Thanks to the recent regularity results of Kaplick\'y, M\'alek and Star\'a, we prove that the solution operator is differentiable. This enables us to use the Lyapunov exponents to estimate the dimension of the exponential attractor.
  • We study the dynamics of a two-dimensional homogenenous incompressible fluid of power-law type, with the viscosity behaving like $(1+|\Du|)^{p-2}$, $p\ge2$. Here $\Du$ is the symmetric velocity gradient. Thanks to the recent regularity results of Kaplick\'y, M\'alek and Star\'a, we prove that the solution operator is differentiable. This enables us to use the Lyapunov exponents to estimate the dimension of the exponential attractor. (en)
Title
  • Differentiability of the solution operator and the dimension of the attractor for certain power-law fluids
  • Diferencovatelnost operátoru řešení a dimenze atraktoru pro jisté polynomiální tekutiny (cs)
  • Differentiability of the solution operator and the dimension of the attractor for certain power-law fluids (en)
skos:prefLabel
  • Differentiability of the solution operator and the dimension of the attractor for certain power-law fluids
  • Diferencovatelnost operátoru řešení a dimenze atraktoru pro jisté polynomiální tekutiny (cs)
  • Differentiability of the solution operator and the dimension of the attractor for certain power-law fluids (en)
skos:notation
  • RIV/00216208:11320/07:00004939!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 75;87
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0934), 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
  • 417279
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00004939
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Differentiability; solution; operator; dimension; attractor; certain; power-law; fluids (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [DDF1ED97ED65]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Analysis and 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
  • 326
http://linked.open...iv/tvurceVysledku
  • Kaplický, Petr
  • Pražák, Dalibor
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-247X
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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