Weak solutions to the continuous coagulation equation with multiple fragmentation
نویسندگان
چکیده
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 was assumed.
منابع مشابه
The Continuous Coagulation Equation with Multiple Fragmentation
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 L compactness methods applied to suitably chosen approximating equations. The question of uniqueness is also considered.
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