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
Schlagworte:	attractor Biological models (mathematics) biological patterns Boundary conditions Dynamical systems Dynamics Estimates Existence theorems Group theory Mathematical models Mathematical research mechanochemical model Mechanochemistry Regularity
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