2024-03-29T05:36:08Z
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oai:repository.dl.itc.u-tokyo.ac.jp:00040082
2022-12-19T04:14:35Z
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Time periodic Navier-Stokes flow with nonhomogeneous boundary condition
MORIMOTO, Hiroko
92547
415
two dimensional time periodic Navier-Stokes flow
general outflow condition
symmetry
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.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2009-06-30
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
16
113
123
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40082/files/jms160105.pdf
eng