About: Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow     Goto   Sponge   NotDistinct   Permalink

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  • The equations describing planar motion of a homogeneous, incom pressible generalized Newtonian fluid are considered. The stress tensor is given constitutively as T=(1+|Du|)^{(p-2)/2}, where Du is the symmetric part of the velocity gradient. The equations are complemented by periodic boundary conditions. For the solution semigroup the Lyapunov exponents are computed using a slightly generalized form of the Lieb-Thirring inequality and consequently the fractal dimension of the global attractor is estimated for all p (4/3, 2].
  • The equations describing planar motion of a homogeneous, incom pressible generalized Newtonian fluid are considered. The stress tensor is given constitutively as T=(1+|Du|)^{(p-2)/2}, where Du is the symmetric part of the velocity gradient. The equations are complemented by periodic boundary conditions. For the solution semigroup the Lyapunov exponents are computed using a slightly generalized form of the Lieb-Thirring inequality and consequently the fractal dimension of the global attractor is estimated for all p (4/3, 2]. (en)
  • Uvažujeme rovnice popisující rovinné proudění homogenní nestlačitelné zobecněné Newtonovské tekutiny. Tensor napětí je zadán jako T=(1+|Du|)^{(p-2)/2}, kde Du je symetrická část gradientu vektoru rychlosti. Rovnice jsou doplněny periodickými okrajovými podmínkami. Pomocí mírně zobecněné Liebovy-Thirringovy jsou spočítány Ljapunovovy exponenty problému. Následně je odhadnuta fraktální dimenze globálního atraktoru pro p z (4/3, 2]. (cs)
Title
  • Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow
  • Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow (en)
  • Ljapunovské exponenty a dimenze atraktoru pro 2d nestlačitélné toky se zeslabením smyku (cs)
skos:prefLabel
  • Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow
  • Lyapunov exponents and the dimension of the attractor for 2d shear-thinning incompressible flow (en)
  • Ljapunovské exponenty a dimenze atraktoru pro 2d nestlačitélné toky se zeslabením smyku (cs)
skos:notation
  • RIV/00216208:11320/08:00100318!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1K05004), P(GA201/05/0164), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 4
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  • 377305
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/08:00100318
http://linked.open...riv/jazykVysledku
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  • Lyapunov; exponents; dimension; attractor; shear-thinning; incompressible; flow (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [16325886B7CA]
http://linked.open...i/riv/nazevZdroje
  • Discrete and Continuous Dynamical Systems
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http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 20
http://linked.open...iv/tvurceVysledku
  • Kaplický, Petr
  • Pražák, Dalibor
http://linked.open...ain/vavai/riv/wos
  • 000254121900011
http://linked.open...n/vavai/riv/zamer
issn
  • 1078-0947
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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