中北大学学报（自然科学版）2018，Vol.39Issue(3)：255-259,5.DOI:10.3969/j.issn.1673-3193.2018.03.002
一类非线性耦合抛物型方程组解的整体不存在性
Nonexistence of Solutions for a Coupled Parabolic Systems with Source Terms
裴金仙1
作者信息
- 1. 山西大学商务学院 理学系,山西 太原030031
- 折叠
摘要
Abstract
A nonlinear coupled parabolic equations system with source terms was studied.This system can describe describe the processes of heat diffusion and combustion which was subjected to external force.The system will blow up since the source terms appear.It is proved that the solution of the cou-pled parabolic system is global nonexistence when the initial values and the nonlinear source terms satis-fy appropriate conditions by constructing suitable functional and suitable convex inequality.The estima-tion of the blow-up time is given.关键词
耦合抛物型系统/源项/有限时刻爆破/爆破时刻估计Key words
coupled parabolic system/source term/finite time blow-up/blow-up time estimation分类
数理科学引用本文复制引用
裴金仙..一类非线性耦合抛物型方程组解的整体不存在性[J].中北大学学报（自然科学版）,2018,39(3):255-259,5.
