一类具有耦合边界项的多孔介质方程组的临界曲线(英文)  

Critical Curves for a Porous Medium System Coupled via Nonlinear Boundary Flux

作　　者：李玉环[1] 宋小军[2] 穆春来[3] 

机构地区：[1]四川师范大学数学系,成都610066 [2]西华师范大学数学与信息学院,四川南充637002 [3]重庆大学数学与统计学院,重庆400044

出　　处：《西南师范大学学报（自然科学版）》2012年第9期9-12,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11001189)

摘　　要：本文研究一类具有非线性边界项的多孔介质方程组.通过构造自相似上下解得到一种新的临界Fujita曲线,这种临界Fujita曲线与低阶项系数有很大关系.The paper deals with the porous medium system with nonlinear boundary flux. By constructing selfsimilar supersolutions and subsolutions, we obtain the critical Fujita curve which is conjectured with the aid of some new re- sults. It shows that the coefficient of the lower order term is an important factor that determines the critical Fujita curve.

关 键 词：多孔介质方程组 临界Fujita曲线 非线性边界流 爆破 

分 类 号：O175.26[理学—数学]