Self-similar solutions for the LSW model with encounters

Details Self-similar solutions for the LSW model with encounters Self-similar solutions for the LSW model with encounters

2008-03-25

arxiv.org/abs/0803.3521v1

Journal of Differential Equations, vol. 247, no. 8, pp. 2282-2309, 2009

Mathematics

Analysis of PDEs

22 pages

Scientific paper

10.1016/j.jde.2009.07.021

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.

Affiliated with

Also associated with

No associations

Rating

Self-similar solutions for the LSW model with encounters does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-similar solutions for the LSW model with encounters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-similar solutions for the LSW model with encounters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348946