Loading...
Please wait, while we are loading the content...
Similar Documents
Travelling-waves for the FKPP equation via probabilistic arguments
| Content Provider | Semantic Scholar |
|---|---|
| Author | Harris, Simon R. |
| Copyright Year | 1999 |
| Abstract | We outline a completely probabilistic study of travelling-wave solutions of the FKPP reaction-diffusion equation that are monotone and connect 0 to 1. The necessary asymptotics of such travelling-waves are proved using martingale and Brownian motion techniques. Recalling the connection between the FKPP equation and branching Brownian motion through the work of McKean and Neveu, we show how the necessary asymptotics and results about branching Brownian motion combine to give the existence and uniqueness of travelling waves of all speeds greater than or equal to the critical speed. |
| Starting Page | 503 |
| Ending Page | 517 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S030821050002148X |
| Volume Number | 129 |
| Alternate Webpage(s) | http://people.bath.ac.uk/massch/Research/Papers/uq.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S030821050002148X |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |