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arXiv · 1101.4169

Weak solutions to the continuous coagulation equation with multiple fragmentation

Ankik Kumar Giri·Philippe Laurencot·Gerald Warnecke
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Abstract

The existence of weak solutions to the continuous coagulation equation with multiple fragmentation is shown for a class of unbounded coagulation and fragmentation kernels, the fragmentation kernel having possibly a singularity at the origin. This result extends previous ones where either boundedness of the coagulation kernel or no singularity at the origin for the fragmentation kernel were assumed.

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Ankik Kumar Giri, Philippe Laurencot, Gerald Warnecke. 2011-01-21. Weak solutions to the continuous coagulation equation with multiple fragmentation. https://arxiv.org/abs/1101.4169

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