About: Approximation of a solution to the Euler equation by solutions of the Navier–Stokes equation     Goto   Sponge   NotDistinct   Permalink

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  • We show that a smooth solution u 0 of the Euler boundary value problem on a time interval (0, T 0) can be approximated by a family of solutions of the Navier–Stokes problem in a topology of weak or strong solutions on the same time interval (0, T 0). The solutions of the Navier–Stokes problem satisfy Navier’s boundary condition, which must be “naturally inhomogeneous if we deal with the strong solutions. We provide information on the rate of convergence of the solutions of the Navier–Stokes problem to the solution of the Euler problem for ν 0. We also discuss possibilities when Navier’s boundary condition becomes homogeneous.
  • We show that a smooth solution u 0 of the Euler boundary value problem on a time interval (0, T 0) can be approximated by a family of solutions of the Navier–Stokes problem in a topology of weak or strong solutions on the same time interval (0, T 0). The solutions of the Navier–Stokes problem satisfy Navier’s boundary condition, which must be “naturally inhomogeneous if we deal with the strong solutions. We provide information on the rate of convergence of the solutions of the Navier–Stokes problem to the solution of the Euler problem for ν 0. We also discuss possibilities when Navier’s boundary condition becomes homogeneous. (en)
Title
  • Approximation of a solution to the Euler equation by solutions of the Navier–Stokes equation
  • Approximation of a solution to the Euler equation by solutions of the Navier–Stokes equation (en)
skos:prefLabel
  • Approximation of a solution to the Euler equation by solutions of the Navier–Stokes equation
  • Approximation of a solution to the Euler equation by solutions of the Navier–Stokes equation (en)
skos:notation
  • RIV/67985840:_____/13:00389760!RIV13-AV0-67985840
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  • I, P(GA201/08/0012)
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  • 1
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  • 61897
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  • RIV/67985840:_____/13:00389760
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  • Euler equations; Navier-Stokes equations; weak solutions (en)
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  • CH - Švýcarská konfederace
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  • [653FCB935506]
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  • Journal of Mathematical Fluid Mechanics
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  • 15
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  • Neustupa, Jiří
  • Penel, P.
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  • 000315093300010
issn
  • 1422-6928
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s00021-012-0125-y
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