具非线性边界条件的退化抛物方程解的爆破性与整体存在性  

Properties of the Solutions for Quasilinear Degenerate Parabolic Equations with Nonlinear Boundary Conditions

作　　者：周展宏[1] 

机构地区：[1]湛江海洋大学理学院,广东湛江524025

出　　处：《四川大学学报（自然科学版）》2003年第6期1037-1041,共5页Journal of Sichuan University(Natural Science Edition)

摘　　要：讨论了物性依赖于温度的非线性热传导方程ut=uαuxx1<α<32具非线性边界条件-ux(0,t)=up(0,t),u(l,t)=0的解的性态,并估计了爆破解的爆破速率.The nonlinear heat-conduction eqution u_t=u~αu_(xx)1<α<32 with nonlinear boundary condition (-u_x(0,t))=u^p(0,t),u(l,t)=0 is discussed. The blow-up rate of the blow-up solutions is estimated.

关 键 词：拟线性退化抛物方程 非线性边界条件 爆破解 

分 类 号：O175.2[理学—数学]