Regular Solutions to the Coagulation Equations with Singular Kernels
Mathematical Physics
2014-01-22 v3 math.MP
Abstract
In this article we prove the existence of solutions to the coagulation equation with singular kernels. We use weighted L^1-spaces to deal with the singularities in order to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak L^1 compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also mentioned.
Cite
@article{arxiv.1210.1500,
title = {Regular Solutions to the Coagulation Equations with Singular Kernels},
author = {Carlos Cueto Camejo and Robin Gröpler and Gerald Warnecke},
journal= {arXiv preprint arXiv:1210.1500},
year = {2014}
}
Comments
19 pages