Self-Similarity for Ballistic Aggregation Equation
Analysis of PDEs
2015-05-14 v1
Abstract
We consider ballistic aggregation equation for gases in which each particle is iden- ti?ed either by its mass and impulsion or by its sole impulsion. For the constant aggregation rate we prove existence of self-similar solutions as well as convergence to the self-similarity for generic solutions. For some classes of mass and/or impulsion dependent rates we are also able to estimate the large time decay of some moments of generic solutions or to build some new classes of self-similar solutions.
Cite
@article{arxiv.0911.0431,
title = {Self-Similarity for Ballistic Aggregation Equation},
author = {Miguel Escobedo and Stéphane Mischler},
journal= {arXiv preprint arXiv:0911.0431},
year = {2015}
}