A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters

作者：Mo Jia-Qi^*

来源：Chinese Physics B, 2010, 19(1): 010203.

• nonlinear
• two parameters
• singular perturbation

A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer.

• 出版日期2010-1
• 单位安徽师范大学