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Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2012

Weak solutions to the continuous coagulation equation with multiple fragmentation

Résumé

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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Dates et versions

hal-00557803 , version 1 (21-01-2011)

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Ankik Kumar Giri, Philippe Laurencot, Gerald Warnecke. Weak solutions to the continuous coagulation equation with multiple fragmentation. Nonlinear Analysis: Theory, Methods and Applications, 2012, 75, pp.2199-2208. ⟨10.1016/j.na.2011.10.021⟩. ⟨hal-00557803⟩
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