二元热传导方程的Phragmén-Lindelöf型二择一结果

The Phragmén-Lindelöf Type Alternative Results for Binary Heat Conduction Equations

考虑了二元热传导方程在半无穷区域上解的渐近性质,其中在柱体的侧面上施加局部非齐次Neumann条件.这种条件模拟了柱体侧面上的绝热材料受到局部破坏的情形.利用微分不等式技术和能量分析的方法,得到了热传导模型的Phragmén-Lindelöf型二择一结果.

The asymptotic behavior of the solution to the binary heat conduction equation in the semi-infinite domain was considered,in which the local non-homogeneous Neumann condition was applied to the side of the cylinder.This condition simulates the local damage of the insulation material on the side of the cylinder.By means of the differential inequality technique and the energy analysis method,the Phragmén-Lindelöf-type alternative results of the heat conduction model were obtained.