Time periodic Navier-Stokes flow with nonhomogeneous boundary condition
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概要
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It is known that the Navier-Stokes initial boundary value problem for non-homogeneous boundary condition has a unique local solution (e.g., O. A. Ladyzhenskaya\cite{lady}). Nevertheless, it seems to the author that there is no results for the periodic problem with non-homogeneous boundary condition satisfying the general outflow condition. We consider the periodic problem for the Navier-Stokes equations in a two dimensional bounded domain. In case of a symmetric domain, we obtain a periodic weak solution for symmetric boundary values satisfying only the general outflow condition.
- Graduate School of Mathematical Sciences, The University of Tokyoの論文
- 2009-06-30
Graduate School of Mathematical Sciences, The University of Tokyo | 論文
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