Abstract
A singularly perturbed boundary-value problem for a nonlinear stationary equation of reaction-diffusion-advection type is studied. A new class of problems with discontinuous advective and reactive terms is considered. The existence of contrast structures in problems of this type is proved, and an asymptotic approximation of the solution with an internal transition layer of arbitrary order of accuracy is obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 735-744 |
| Number of pages | 10 |
| Journal | Mathematical Notes |
| Volume | 104 |
| Issue number | 5-6 |
| DOIs | |
| State | Published - 1 Nov 2018 |
Keywords
- asymptotic methods
- internal transition layer
- problem of reaction-diffusion-advection type
- problems with discontinuous nonlinearity