Point island dynamics under fixed rate deposition

Allen, D. and Grinfeld, M. and Sasportes, R. (2019) Point island dynamics under fixed rate deposition. Journal of Mathematical Analysis and Applications, 472 (2). pp. 1716-1728. ISSN 0022-247X (https://doi.org/10.1016/j.jmaa.2018.12.018)

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Abstract

We consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption.

  • Item type:Article
    ID code:66568
    Dates:
    Date
    Event
    15 April 2019
    Published
    11 December 2018
    Published Online
    9 December 2018
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:15 Jan 2019 11:18
    Last modified:09 Apr 2024 00:28
    URI:https://strathprints.strath.ac.uk/id/eprint/66568
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