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Persistence of travelling wave solutions of a fourth order diffusion system
journal contribution
posted on 2023-06-08, 10:04 authored by Yuliya KyrychkoYuliya Kyrychko, M V Bartuccelli, Konstantin BlyussKonstantin BlyussIn this paper the extended Burgers-Huxley equation with the fourth-order derivative is considered. First. the convergence to the uniform steady state is proved, which means the solution of the equation with positive initial data will remain positive for time t sufficiently large. Then, the persistence of the travelling wave solution for the extended equation on the unbounded domain is investigated. We have proved that this solution will persist under small perturbation of the equation.
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Publication status
- Published
Journal
Journal of Computational and Applied MathematicsISSN
0377-0427Publisher
ElsevierExternal DOI
Issue
2Volume
176Page range
433-443Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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