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

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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.

作者王玲芝

机构地区涪陵师范学院数学系

出处《工程数学学报》 CSCD 北大核心 2003年第2期46-52,58,共8页 Chinese Journal of Engineering Mathematics

关键词热传导系统 DIRICHLET边值问题有界性爆破 heat-conduction system Dirichlet boundary value problem boundedness blow-up

分类号 O175.27 [理学—基础数学]

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一类广义热传导系统解的有界性及爆破

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