Finite time extinction in nonlinear diffusion equations
Laister, R. ; Peplow, A. T. LU
and Beardmore, R. E.
(2004)
In Applied Mathematics Letters
17(5).
p.561-567
- 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.
Please use this url to cite or link to this publication:
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- author
- Laister, R.
; Peplow, A. T.
LU
and Beardmore, R. E.
- publishing date
- 2004-05
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Degenerate diffusion, Extinction, Finite travelling waves, Singular
- in
- Applied Mathematics Letters
- volume
- 17
- issue
- 5
- pages
- 7 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:2442688981
- ISSN
- 0893-9659
- DOI
- 10.1016/S0893-9659(04)90126-7
- language
- English
- LU publication?
- no
- additional info
- Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
- id
- 5d7c00f5-4814-4742-9581-e1b7931ba0bb
- date added to LUP
- 2021-03-08 15:17:52
- date last changed
- 2025-04-04 14:24:47
@article{5d7c00f5-4814-4742-9581-e1b7931ba0bb,
abstract = {{<p>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.</p>}},
author = {{Laister, R. and Peplow, A. T. and Beardmore, R. E.}},
issn = {{0893-9659}},
keywords = {{Degenerate diffusion; Extinction; Finite travelling waves; Singular}},
language = {{eng}},
number = {{5}},
pages = {{561--567}},
publisher = {{Elsevier}},
series = {{Applied Mathematics Letters}},
title = {{Finite time extinction in nonlinear diffusion equations}},
url = {{http://dx.doi.org/10.1016/S0893-9659(04)90126-7}},
doi = {{10.1016/S0893-9659(04)90126-7}},
volume = {{17}},
year = {{2004}},
}