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 |
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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
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attractor. |
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ISSN: | 1392-6292 1648-3510 |
DOI: | 10.3846/13926292.2017.1292324 |