摘要
本文将Navier-Stokes方程化为一个莫线性算子方程;给出了定常问题强解的一个存在唯一性区域,并且证明了在此区域中强解是无穷可微的;同时还给出了解在该区域内的一致界和迭代求解公式.
Navier-stokes equations are transformed into a nonlinear equation,then an existence-uniqueness re- gion is characterized.We show that these Solutions are infinitely differentiable,and provide an uniform bound and an iterative formula for the solutions in this region as well.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
1992年第4期451-454,共4页
Journal of Inner Mongolia University：Natural Science Edition
关键词
非线性
算子方程
压缩映射
N-S方程
Navier-Stokes equation
nonlinear operator equation
contraction mapping
imbedding
