TY - GEN A1 - Herrmann, Michael A1 - Niethammer, Barbara A1 - Velazquez, Juan J.L. T1 - Self-similar solutions for the LSW model with encounters N2 - 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. KW - coarsening with encounters KW - self-similar solutions KW - kinetics of phase transitions Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/496 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4963 ER -