About: Conditions for asymptotic energy nad enstrophy concentration in solutions to the Navier-Stokes equations     Goto   Sponge   NotDistinct   Permalink

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  • We show as the main result of the paper that if $w$ is a nonzero global weak solution to the Navier-Stokes equations satisfying the strong energy inequality and w(0) is in R(A^\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mu), then the energy of the solution $w$ concentrates asymptotically in frequencies smaller than or equal to a finite number. We also obtain an explicit convergence rate in the limit above and similar results for the enstrophy.
  • We show as the main result of the paper that if $w$ is a nonzero global weak solution to the Navier-Stokes equations satisfying the strong energy inequality and w(0) is in R(A^\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\mu), then the energy of the solution $w$ concentrates asymptotically in frequencies smaller than or equal to a finite number. We also obtain an explicit convergence rate in the limit above and similar results for the enstrophy. (en)
Title
  • Conditions for asymptotic energy nad enstrophy concentration in solutions to the Navier-Stokes equations
  • Conditions for asymptotic energy nad enstrophy concentration in solutions to the Navier-Stokes equations (en)
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  • Conditions for asymptotic energy nad enstrophy concentration in solutions to the Navier-Stokes equations
  • Conditions for asymptotic energy nad enstrophy concentration in solutions to the Navier-Stokes equations (en)
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  • RIV/68407700:21110/09:00166475!RIV10-MSM-21110___
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  • Z(MSM6840770003)
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  • 0
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  • 308038
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  • RIV/68407700:21110/09:00166475
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  • Navier-Stokes equations; Asymptotic behavior; Fast Decays; Energy and Enstrophy Concentration (en)
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http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [E8102B5D1758]
http://linked.open...i/riv/nazevZdroje
  • Nonlinear Analysis: Theory, Methods & Applications
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  • 71
http://linked.open...iv/tvurceVysledku
  • Skalák, Zdeněk
http://linked.open...n/vavai/riv/zamer
issn
  • 0362-546X
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  • 21110
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