一类燃烧问题的奇摄动解

A Singularly Perturbed Solution for a Class of Burning Problem

讨论了一类燃烧问题.利用奇摄动方法构造了问题解的边界层和内层.指出了相应问题存在内部冲击波,并得到了解的渐近展开式.最后通过一个具体例子描述了问题解出现的火焰冲击波的性态.

A class of combustion problem is considered. Using the singular perturbation method, the boundary and the interior layers of solution for the problem are constructed. And we pointed out that there is a kind of interior shock wave and then the asymptotic expansion of solution is obtained. Finally, the behavior of the flame shock wave is described using the specific example.