About: Stability of a Solution of the Navier-Stokes Equation in a Norm Induced by a Fractional Power of the Stokes Operator     Goto   Sponge   NotDistinct   Permalink

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  • We show that a strong solution u of the Navier-Stokes initial-boundary value problem which is in a certain sense bounded and integrable on the time interval (0,infinity) is stable with respect to small disturbances of the initial velocity in the norm induced by a fractional power of the Stokes operator and to small disturbances of the right hand side.
  • We show that a strong solution u of the Navier-Stokes initial-boundary value problem which is in a certain sense bounded and integrable on the time interval (0,infinity) is stable with respect to small disturbances of the initial velocity in the norm induced by a fractional power of the Stokes operator and to small disturbances of the right hand side. (en)
  • Ukazujeme, že silné řešení Navierova-Stokesova počátečního-okrajového problému, které je jistým způsobem omezené a integrovatelné na časovém intervalu (0,nekonečno), je stabilní vzhledem k malým poruchám počáteční rychlosti v normě indukované fraktální mocninou Stokesova operátoru a k malým poruchám pravé strany. (cs)
Title
  • Stability of a Solution of the Navier-Stokes Equation in a Norm Induced by a Fractional Power of the Stokes Operator
  • Stabilita řešení Navierovy-Stokesovy rovnice v normě indukované fraktální mocninou Stokesova operátoru (cs)
  • Stability of a Solution of the Navier-Stokes Equation in a Norm Induced by a Fractional Power of the Stokes Operator (en)
skos:prefLabel
  • Stability of a Solution of the Navier-Stokes Equation in a Norm Induced by a Fractional Power of the Stokes Operator
  • Stabilita řešení Navierovy-Stokesovy rovnice v normě indukované fraktální mocninou Stokesova operátoru (cs)
  • Stability of a Solution of the Navier-Stokes Equation in a Norm Induced by a Fractional Power of the Stokes Operator (en)
skos:notation
  • RIV/68407700:21110/06:02119842!RIV07-AV0-21110___
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  • RIV/68407700:21110/06:02119842
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  • Navier-Stokes equation; Stokes operator; stability (en)
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  • Kučera, Petr
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