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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| creator | Liu, Aibo Liu, Changchun |
| description | 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. |
| doi_str_mv | 10.3846/13926292.2017.1292324 |
| format | Article |
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k
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| ispartof | Mathematical modelling and analysis, 2017-03, Vol.22 (2), p.252-269 |
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| language | eng |
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| source | EZB Electronic Journals Library |
| subjects | attractor Biological models (mathematics) biological patterns Boundary conditions Dynamical systems Dynamics Estimates Existence theorems Group theory Mathematical models Mathematical research mechanochemical model Mechanochemistry Regularity |
| title | Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns |
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