纺织高校基础科学学报2016,Vol.29Issue(4):450-454,5.DOI:10.13338/j.issn.1006-8341.2016.04.006
耦合非线性波动方程爆破时间的下确界
Lower bounds for blow-up time of the coupled nonlinear wave equations
摘要
Abstract
Considering the coupled nonlinear wave equation,to obtain the lower bounds for wave equations,in case of blow-up result,selecting suitable auxiliary function G (t) and get the differential inequality on G (t) and G'(t) by Cauchy inequality and the estimation of the initial energy E(0).Finally,by integrating over the time,the lower bounds of blow-up time for coupled nonlinear wave equation is obtained.关键词
耦合/非线性波动方程/爆破/下确界Key words
coupled/nonlinear wave equation/blow-up/lower bounds分类
数理科学引用本文复制引用
刘玉龙..耦合非线性波动方程爆破时间的下确界[J].纺织高校基础科学学报,2016,29(4):450-454,5.基金项目
国家自然科学基金资助项目(11171195) (11171195)