Abstract
This paper is concerned with the study of a diffusive perturbation of the linear LSW model introduced by Carr and Penrose. A main subject of interest is to understand how the presence of diffusion acts as a selection principle, which singles out a particular self-similar solution of the linear LSW model as determining the large time behavior of the diffusive model. A selection principle is rigorously proven for a model which is a semiclassical approximation to the diffusive model. Upper bounds on the rate of coarsening are also obtained for the full diffusive model.
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Communicated by Robert V. Kohn.
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Conlon, J.G., Dabkowski, M. & Wu, J. On Large Time Behavior and Selection Principle for a Diffusive Carr–Penrose Model. J Nonlinear Sci 26, 453–518 (2016). https://doi.org/10.1007/s00332-015-9280-7
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DOI: https://doi.org/10.1007/s00332-015-9280-7