Spatial coagulation with bounded coagulation rate

Details Spatial coagulation with bounded coagulation rate Spatial coagulation with bounded coagulation rate

2010-11-09

arxiv.org/abs/1011.2114v2

Mathematics

Functional Analysis

v2, revised and polished version; 11 pages. To appear in Journal of Evolution Equations

Scientific paper

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.

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