论文标题
在第四阶Cattaneo等方程中，热传导与记忆
On the fourth order Cattaneo equation of heat conduction with memory
论文作者
论文摘要
当特定（小）参数等于零时，Cattaneo提出的有限传播速度的众所周知的热方程将通过更通用的第四阶PDE获得。看来，这个第四阶方程在文献中本质上被忽略了，尤其是当它受到非均匀边界条件的约束时。在本文中，当某些系数倾向于奇异值时，我们检查了其良好的姿势和渐近行为。
The well known heat equation with finite speed of propagation proposed by Cattaneo is obtained by a more general fourth order PDE when a certain (small) parameters is put equal to zero. It seems that this fourth order equation has been essentially overlooked in the literature, in particular when it is subject to non homogeneous boundary conditions. In this paper we examine its well posedness and the asymptotic behavior when certain coefficients tend to singular values.
