Spatial coagulation with bounded coagulation rate
Functional Analysis
2011-02-21 v2 Analysis of PDEs
Abstract
We prove that the spatial coagulation equation with bounded coagulation rate is well-posed for all times in a given class of kernels if the convection term of the underlying particle dynamics has divergence bounded below by a positive constant. Multiple coagulations, fragmentation and scattering are also considered.
Cite
@article{arxiv.1011.2114,
title = {Spatial coagulation with bounded coagulation rate},
author = {Ismael Bailleul},
journal= {arXiv preprint arXiv:1011.2114},
year = {2011}
}
Comments
v2, revised and polished version; 11 pages. To appear in Journal of Evolution Equations