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Spatial coagulation with bounded coagulation rate

Name: Spatial coagulation with bounded coagulation rate
Creator: Ismael Bailleul
Keywords: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, 01 natural sciences, Functional Analysis (math.FA), Analysis of PDEs (math.AP)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Mar 2011Embargo end date: 01 Jan 2010Publisher:Springer Science and Business Media LLCJournal:Journal of Evolution Equations, volume 11, pages 675-686 (issn: 1424-3199, eissn: 1424-3202,

Authors: Ismael Bailleul;

doi: 10.1007/s00028-011-0105-3 , 10.48550/arxiv.1011.2114

arXiv: http://arxiv.org/abs/1011.2114

Spatial coagulation with bounded coagulation rate

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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

Keywords

Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, FOS: Mathematics, Functional Analysis (math.FA), Analysis of PDEs (math.AP)

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