Existence of a Regular Periodic Solution to the Rothe-Approximation of the Navier-Stokes Equation in Arbitrary Dimension

نویسندگان

  • Jens Frehse
  • Michael Ružička
  • JENS FREHSE
  • MICHAEL RŮŽIČKA
چکیده

In this paper we show the existence of regular solutions of the Rothe–approximation of the unsteady Navier–Stokes equations with periodic boundary condition in arbitrary dimension. The result relies on techniques developed by the authors in the study of the higher–dimensional steady Navier–Stokes equations.

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تاریخ انتشار 2007