Spatial coagulation with bounded coagulation rate
arXiv:1011.2114
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.
v2, revised and polished version; 11 pages. To appear in Journal of Evolution Equations