不适定的P-Laplace发展方程弱解对初始时刻几何的连续依赖性

Abstract

研究了从非牛顿流体力学中提出的一类前向P Laplace发展方程的不适定性问题的弱解对初始时刻几何的连续依赖性,导出了一个仅依赖初始数据的显式的连续依赖性的格式.

In this paper, we study the continuous dependence on the initial-time geometry of the improperly posed forward-in-time problem for weak solutions to P-Laplace evalution equation which arise in Non-Newton fluid dynamic.An explicit continuous dependence inequality depending solely on data is derived.