Electron. J. Diff. Eqns., Vol. 2009(2009), No. 62, pp. 1-8.

Navier-Stokes equation with slip-like boundary condition

Ken'ichi Hashizume, Tetsuya Koyama, Mitsuharu Otani

Abstract:
The aim of this note is to investigate a time-discretized 2-dimensional Navier-Stokes equation with a slip-like boundary condition, which arises in the melting ice problem. We prove the existence and uniqueness of a weak solution.

Submitted August 22, 2008. Published May 4, 2009.
Math Subject Classifications: 35Q30.
Key Words: Navier-Stokes equation; time discretition; slip-like boundary

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Ken'ichi Hashizume
Hiroshima Institute of Technology
2-1-1, Miyake, Saeki-ku, Hiroshima, Japan, 731-5193
email: khshzm@cc.it-hiroshima.ac.jp
Tetsuya Koyama
Hiroshima Institute of Technology
2-1-1, Miyake, Saeki-ku, Hiroshima, Japan, 731-5193
email: tkoyama@cc.it-hiroshima.ac.jp
Mitsuharu Otani
Department of Applied Physics
School of Science and Engineering, Waseda University
3-4-1, Okubo Tokyo, Japan, 169-8555
e-mail: otani@waseda.jp

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