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 |
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Tetsuya Koyama Hiroshima Institute of Technology 2-1-1, Miyake, Saeki-ku, Hiroshima, Japan, 731-5193 email: tkoyama@cc.it-hiroshima.ac.jp |
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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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