Journal article
Self-similar solutions for the LSW model with encounters
- 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. © 2009 Elsevier Inc. All rights reserved.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 330.3KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jde.2009.07.021
Authors
- Publisher:
- Elsevier
- Journal:
- JOURNAL OF DIFFERENTIAL EQUATIONS More from this journal
- Volume:
- 247
- Issue:
- 8
- Pages:
- 2282-2309
- Publication date:
- 2009-10-15
- DOI:
- EISSN:
-
1090-2732
- ISSN:
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0022-0396
- Language:
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English
- Keywords:
- Pubs id:
-
12428
- UUID:
-
uuid:471c9cfc-338b-428a-8bfc-654bb7274e2e
- Local pid:
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pubs:12428
- Source identifiers:
-
12428
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright holder:
- Elsevier BV
- Copyright date:
- 2009
- Notes:
- Copyright 2009 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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