Abstract
We consider diffusion models in which distributed nonlinear absorption mechanisms compete with nonlinear boundary sources. Assuming that the nonlinearities are weak, formal asymptotic approximations are constructed to describe stability of steady states and the behavior of solutions of initial-boundary value problems. © 1998 Society for Industrial and Applied Mathematics.
| Original language | English |
|---|---|
| Pages (from-to) | 1622-1647 |
| Number of pages | 26 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 58 |
| Issue number | 5 |
| Publication status | Published - 1998 |
Keywords
- Eigenvalue problems
- Nonlinear boundary conditions
- Perturbation analysis
- Reaction diffusion equations
- Weakly nonlinear