Article thumbnail

On a strong solution of the non-stationary Navier–Stokes equations under slip or leak boundary conditions of friction type

By Takahito Kashiwabara

Abstract

AbstractStrong solutions of the non-stationary Navier–Stokes equations under non-linearized slip or leak boundary conditions are investigated. We show that the problems are formulated by a variational inequality of parabolic type, to which uniqueness is established. Using Galerkinʼs method and deriving a priori estimates, we prove global and local existence for 2D and 3D slip problems respectively. For leak problems, under no-leak assumption at t=0 we prove local existence in 2D and 3D cases. Compatibility conditions for initial states play a significant role in the estimates

Publisher: Elsevier Inc.
Year: 2013
DOI identifier: 10.1016/j.jde.2012.09.015
OAI identifier:

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.