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THe Continuous Coagulation Equation with Multiple Fragmentation

by A.K. Giri, J. Kumar, G. Warnecke.

Series: 2009-33, Preprints

45J05 Integro-ordinary differential equations
34A34 Nonlinear equations and systems, general

We present a proof of the existence of solutions to the continuous coagulation equation with multiple fragmentation whenever ther kernels satisfy certain growth conditions. The proof relies on weak L^1 compactness methods applied to suitably chosen approximating equations. The question of uniqueness is also considered. The result is an extension of previous result of Lamb [15] that covers somer kernels modeling particles in flows that were not included in the previous results.

Particles; Coagulation, Multiple Fragmentation; Existence; Uniqueness