一类广义热传导系统解的有界性及爆破  

Boundedness and Blow-up Behavior for Generalized Heat-conduction Systems

作　　者：王玲芝[1] 

机构地区：[1]涪陵师范学院数学系,重庆408003

出　　处：《工程数学学报》2003年第2期46-52,58,共8页Chinese Journal of Engineering Mathematics

摘　　要：研究n维热传导系统在有界域内解的有界性及爆破。得到了解在有限时间内爆破所满足的条件及其对所有t>0解有界的条件。同时研究了一类广义非线性抛物系统并得到了类似的结果。Study the boundedness and blowup behavior for ndimension heatconduction systems in a bounded domain. The condition that blowup solution satisfies is discussed in the finite time and the boundedness condition is obtained for all t>0. The generalized nonlinear parabolic systems is considered and the similar results are obtained as well.

关 键 词：热传导系统 DIRICHLET边值问题 有界性 爆破 

分 类 号：O175.27[理学—数学]