Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns

    Aibo Liu Info
    Changchun Liu Info

Abstract

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 Hk attractor.

Keywords:

mechanochemical model, biological patterns, attractor

How to Cite

Liu, A., & Liu, C. (2017). Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns. Mathematical Modelling and Analysis, 22(2), 252-269. https://doi.org/10.3846/13926292.2017.1292324

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March 18, 2017
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2017-03-18

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How to Cite

Liu, A., & Liu, C. (2017). Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns. Mathematical Modelling and Analysis, 22(2), 252-269. https://doi.org/10.3846/13926292.2017.1292324

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