双分散介质流体在无界区域上的空间性质

Spatial Properties of Bidisperse Media Flow in Unbounded Domain

首先,利用微分不等式技术给出双向流动介质在牛顿冷却边界条件下关于温度的L4范数和解的先验估计;其次,利用解的先验估计并设置适当的能量函数,证明半无限管道中解随空间变量代数式衰减.

Firstly,by using differential inequality techniques,we gave a prior estimate of the L 4 norm and solution of temperature for bidirectional flow media under the Newtonian cooling boundary conditions.Secondly,by using a prior estimate of the solution and setting an appropriate energy function,we proved that the solutions decayed algebraically with spatial variable in a semi-infinite pipe.