A. T. Peplow
Finite time extinction in nonlinear diffusion equations
Peplow, A. T.; Beardmore, R. E.; Laister, R.
Abstract
We consider a class of degenerate diffusion equations where the nonlinearity is assumed to be singular (non-Lipschitz) at zero. It is shown that solutions with compactly supported initial data become identically zero in finite time. Such extinction follows by comparison with newly constructed finite travelling waves connecting two stable equilibria. © 2004 Elsevier Ltd. All rights reserved.
| Journal Article Type | Article |
|---|---|
| Publication Date | Jan 1, 2004 |
| Journal | Applied Mathematics Letters |
| Print ISSN | 0893-9659 |
| Publisher | Elsevier |
| Peer Reviewed | Peer Reviewed |
| Volume | 17 |
| Issue | 5 |
| Pages | 561-567 |
| DOI | https://doi.org/10.1016/S0893-9659%2804%2990126-7 |
| Keywords | finite travelling waves, degenerate diffusion, singular, extinction |
| Public URL | https://uwe-repository.worktribe.com/output/1060669 |
| Publisher URL | http://dx.doi.org/10.1016/S0893-9659(04)90126-7 |
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