The continuous coagulation equation with multiple fragmentation

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

doi:10.1016/j.jmaa.2010.08.037

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The continuous coagulation equation with multiple fragmentation

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Giri, A. K.
International Max Planck Research School (IMPRS), Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Giri, A. K., Kumar, J., & Warnecke, G. (2010). The continuous coagulation equation with multiple fragmentation. Journal of Mathematical Analysis and Applications, 374(1), 71-87. doi:10.1016/j.jmaa.2010.08.037.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002E-A3BD-F

Abstract

We present a proof of the existence of solutions to the continuous coagulation equation with multiple fragmentation whenever the kernels satisfy certain growth conditions. The proof relies on weak L1 compactness methods applied to suitably chosen approximating equations. The question of uniqueness is also considered.