吉林大学学报（理学版）2017，Vol.55Issue(3)：509-512,4.DOI:10.13413/j.cnki.jdxblxb.2017.03.08
燃烧理论中抛物方程组全局解的存在性和不存在性
Existence and Non-existence of Global Solutions for Parabolic Systems from Combustion Theory
摘要
Abstract
The author considered the properties of solutions of initial boundary value problems for quasilinear parabolic systems from combustion theory,and obtained sufficient conditions for the existence and non-existence of global solutions by using energy estimation method,Jensen inequality and Gronwall inequality.The results show that there is a global non negative solution to the problem if the parameter m in the equation is odd and the initial value satisfies appropriate integrability conditions;and the solution of the problem will blow up at a finite time if m is even and the integral of the initial value is suitably large.关键词
抛物方程组/燃烧理论/全局有界性/爆破Key words
parabolic system/combustion theory/global boundedness/blowup分类
数理科学引用本文复制引用
孙秀燕..燃烧理论中抛物方程组全局解的存在性和不存在性[J].吉林大学学报（理学版）,2017,55(3):509-512,4.基金项目
吉林省科技厅项目(批准号:20150201058NY). （批准号:20150201058NY）
