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arXiv · 0803.3521

Self-similar solutions for the LSW model with encounters

Michael Herrmann·Barbara Niethammer·Juan J. L. Velazquez
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Abstract

The LSW model with encounters has been suggested by Lifshitz and Slyozov as a regularization of their classical mean-field model for domain coarsening to obtain universal self-similar long-time behavior. We rigorously establish that an exponentially decaying self-similar solution to this model exist, and show that this solutions is isolated in a certain function space. Our proof relies on setting up a suitable fixed-point problem in an appropriate function space and careful asymptotic estimates of the solution to a corresponding homogeneous problem.

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Michael Herrmann, Barbara Niethammer, Juan J. L. Velazquez. 2008-03-25. Self-similar solutions for the LSW model with encounters. https://doi.org/10.1016/j.jde.2009.07.021

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