摘要
本文考虑一类多维高阶Burgers-KdV型方程组的周期过值问题,采用粘性消去法和Leray-Schauder不动点原理,证明了该问题整体弱解的存在性,最后,考虑了广义解的浙近性质。
In this paper we consider the periodic boundary value problem for a class of multidi- mensional Burgers-KdV equations of higher order. We have proved the existence of global weak solution for this problem and the asymptotic behavior as t→∞ is discussed.
关键词
方程组
边值问题
弱解
simultaneos equations
Boundary-Value problem
weak solution