一类多维广义KS型方程解的BLOW-UP  

Blow up of the Solution for a Generalized KS Equation of Multi-Dimention

作　　者：宁宝权[1] 马慧[1] 

机构地区：[1]六盘水师范学院数学系,贵州六盘水553004

出　　处：《数学的实践与认识》2011年第6期180-183,共4页Mathematics in Practice and Theory

基　　金：六盘水师范学院校级基金(LPSSY201011);贵州教育厅自然科学基金(黔教科2010101)

摘　　要：考虑一类高维广义KS型方程解的Blow-up,利用特征函数和凸性方法,证明了在某些条件下,问题的光滑解只能在一个有界区间中存在,并在有限时间内爆破.The Blow-up of global solution for the generalized KS equation was considered by means of the generalized convexity method and eigenfunction method. It was proved that, in some conditions, the smooth solution of the problem only exists in a bounded interval, and blows up in finite time.

关 键 词：KS方程 特征函数 凸性方法 Blow—up 

分 类 号：O175.29[理学—数学]