摘要
讨论一类基本的半线性抛物型方程，其在物理上对应具有内部热源的热传导问题，提出了一些爆破的充分条件，讨论了有限爆破点与径向对称情况下的爆破点，并证明爆破速率之上界与下界．
In this paper, a nonlinear parabolic equation, which corresponds to heat conduction problem with internal heat source in physics, has been studied. Some sufficient conditions for blow-up has been obtained, blow-up points in finite time and in radial symmetry situation have been discussed, and the upper and lower estimates for the blow-up rate has been proved.
作者
牟金保
熊辉
MOU Jin-bao;XIONG Hui(School of Education, Xizang Minzu University, Xianyang 712082, China;Department of General Education, Macao City University, Macao 999078, China)
出处
《数学的实践与认识》
北大核心
2018年第7期273-278,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11761065)
西藏自治区自然科学基金(2016-ZR-15-24)
西藏民族大学科研项目(16MY02)
关键词
半线性抛物型方程
爆破
内部热源
估计
semilinear parabolic equation
blow-up
internal heat source
estimate
