The Navier–Stokes equation with inhomogeneous boundary conditions based on vorticity

Tom 81 / 2008

Jiří Neustupa, Patrick Penel Banach Center Publications 81 (2008), 321-335 MSC: Primary 35Q30; Secondary 76D05. DOI: 10.4064/bc81-0-21

Streszczenie

We formulate a boundary value problem for the Navier–Stokes equations with prescribed ${\bf u}\cdot{\bf n}$, ${\rm curl}\, {\bf u}\cdot{\bf n}$ and alternatively $(\partial{\bf u}/\partial{\bf n})\cdot{\bf n}$ or ${\rm curl}^2\,{\bf u}\cdot{\bf n}$ on the boundary. We deal with the question of existence of a steady weak solution.

Autorzy

  • Jiří NeustupaFaculty of Mechanical Engineering
    Czech Technical University
    Karlovo nám. 13
    121 35 Praha 2, Czech Republic
    e-mail
  • Patrick PenelDépartement de Mathématique et Laboratoire Systèmes Navals Complexes
    Université du Sud-Toulon-Var
    BP 20132
    83957 La Garde, France
    e-mail

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