奇摄动三阶非线性方程的边界层现象

基金项目:

Boundary layer phenomena of singular perturbed third-order nonlinear equation

摘要: 研究具有某类二阶定解条件的三阶非线性方程的奇摄动 ,通过构造渐近展开式 ,利用微分不等式理论证明了渐近解的一致有效性 ,揭示了摄动问题的渐近解随定解条件的变化而呈现不同边界层现象
- 奇摄动 /
- 边界层 /
- 渐近展开
Abstract: This paper studies the singular perturbation of third-order nonlinear equation with a class of second-order definite solution conditions.By constructiing different asymptotic expansions,using theory of differential inequality,we prove uniformly validity of the asympotic solution,and reveal different boundary layer phenomena of the asymptotic solution of perturbed problem with the change of the definite solution conditions.
- singular perturbation /
- boundary layer /
- asymptotic expansion