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  • We show as the main result of the paper that if w is a solution of the homogeneous Navier-Stokes equations in a smooth bounded domain %22Omega x R^3%22 endowed with zero Dirichlet boundary conditions, then the rate of the asymptotic decay of w for time t going to infinity is the same regardless of the fact if it is the energetic norm or any Sobolev norm which is used for measuring w in space variables.
  • We show as the main result of the paper that if w is a solution of the homogeneous Navier-Stokes equations in a smooth bounded domain %22Omega x R^3%22 endowed with zero Dirichlet boundary conditions, then the rate of the asymptotic decay of w for time t going to infinity is the same regardless of the fact if it is the energetic norm or any Sobolev norm which is used for measuring w in space variables. (en)
  • Ukazujeme jako hlavní výsledek článku, že jestliže w je řešení homogeních Navierových-Stokesových rovnic v hladké omezené oblasti %22Omega x R^3%22 s nulovými hraničními Dirichletovými podmínkami, potom asymptotický pokles w pro čas t jdoucí do nekonečna zůstává stejný bez ohledu na to, zda-li je pro měření w v prostorových proměnných použita energetická norma či jakákoliv Sobolevova norma. (cs)
Title
  • On asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations
  • On asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations (en)
  • Asymptotická dynamika řešení homogenních Navierových-Stokesových rovnic (cs)
skos:prefLabel
  • On asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations
  • On asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations (en)
  • Asymptotická dynamika řešení homogenních Navierových-Stokesových rovnic (cs)
skos:notation
  • RIV/68407700:21110/07:01129609!RIV08-MSM-21110___
http://linked.open.../vavai/riv/strany
  • 981;1004
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6840770003)
http://linked.open...iv/cisloPeriodika
  • 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
  • 439186
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21110/07:01129609
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Navier-Stokes equations; asymptotic behavior; strong global solution (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [8230890220CE]
http://linked.open...i/riv/nazevZdroje
  • Nonlinear Analysis
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 67
http://linked.open...iv/tvurceVysledku
  • Skalák, Zdeněk
http://linked.open...n/vavai/riv/zamer
issn
  • 0362-546X
number of pages
http://localhost/t...ganizacniJednotka
  • 21110
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