非牛顿多方渗流方程解的有界性估计  

Bound Estimates of the Solution to Non-Newton and Multi-oritation Seeping Equation

作　　者：徐新英[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2004年第4期444-449,共6页Journal of Xiamen University：Natural Science

摘　　要：首先利用对数索伯列夫不等式,经过较为复杂的运算,构造了一个特殊的一阶常微分方程,然后利用一阶常微分方程解对初值的依赖性,对具有Lr初值的非牛顿多方渗流方程的齐边值问题给出了解的有界性估计.In this article,a patricular linear differential equation of first order was constructed using logarithmic Sobolev inequality and by more complex operation,and then, bound estimates of the solution for non-Newton and multi-orientation seeping equation were obtained by using the dependence of the solution on the initial value of the linear differential equation of first order.

关 键 词：非牛顿多方渗流方程 解 有界性估计 数索伯列夫不等式 一阶常微分方程 齐边值问题 局部有界性 弱解 

分 类 号：O357.3[理学—流体力学] O411.1[理学—力学]