Global well-posedness for free boundary problem of the Oldroyd-B model fluid flow

摘要

In this paper, we prove the global well-posedness of non-Newtonian viscous fluid flow of the Oldroyd-B model with free surface in a bounded domain of N-dimensional Euclidean space R-N(N >= 2). The assumption of the problem is that the initial data are small enough and orthogonal to rigidmotions. Copyright (C) 2015 John Wiley & Sons, Ltd.