Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns

In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that the mechanoch...

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Veröffentlicht in:Mathematical modelling and analysis 2017-03, Vol.22 (2), p.252-269
Hauptverfasser: Liu, Aibo, Liu, Changchun
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3. Based on the regularity estimates for the semigroups and the classical existence theorem of global attractors, we prove that the mechanochemical model possesses a global attractor and H k attractor.
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2017.1292324