Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 62, pp. 1-8.

Title: Navier-Stokes equation with slip-like boundary condition
   
Authors: Kenichi Hashizume (Hiroshima Inst. of Technology, Japan)
         Tetsuya Koyama    (Hiroshima Inst. of Technology, Japan)
	 Mitsuharu Otani   (Waseda Univ., Tokyo, Japan)  

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 04, 2009.
Math Subject Classifications: 35Q30.
Key Words: Navier-Stokes equation; time discretition; slip-like boundary