The singular kernel coagulation equation with multifragmentation
Mathematical Physics
2013-10-30 v3 math.MP
Abstract
In this article we prove the existence of solutions to the singular coagulation equation with multifragmentation. We use weighted -spaces to deal with the singularities and to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also given.
Cite
@article{arxiv.1210.1571,
title = {The singular kernel coagulation equation with multifragmentation},
author = {Carlos Cueto Camejo and Gerald Warnecke},
journal= {arXiv preprint arXiv:1210.1571},
year = {2013}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1210.1500