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A P ] 2 5 M ar 2 00 8 Self-similar solutions for the LSW model with encounters
| Content Provider | Semantic Scholar |
|---|---|
| Author | Herrmann, Michael Niethammer, Barbara |
| Copyright Year | 2007 |
| 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. keywords: coarsening with encounters, self-similar solutions, kinetics of phase transitions MSC (2000): 45K05, 82C22, 35Q72 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0803.3521v1.pdf |
| Alternate Webpage(s) | http://www.maths.ox.ac.uk/system/files/private/active/0/OxPDE-08-04.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Estimated Fixed-Point Number Fixed-point arithmetic Kinetics (discipline) Kinetics Internet Protocol Phase Transition Self-similarity Solutions |
| Content Type | Text |
| Resource Type | Article |
