Weak solutions to the continuous coagulation equation with multiple fragmentation
classification
🧮 math.AP
keywords
fragmentationcoagulationkernelcontinuousequationmultipleoriginsingularity
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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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