Generation of interface for an Allen-Cahn equation with nonlinear diffusion
Overview & Synopsis
In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we prove a generation of interface property.
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Document Information
| Document Title | Generation of interface for an Allen-Cahn equation with nonlinear diffusion |
|---|---|
| Author / Organization | Matthieu Alfaro, Danielle Hilhorst |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2010 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-196141 |
| Original Source Link | Visit Source Page on hal.science » |