Abstract

This study extends the analytical framework of the generalized moment method for the Smoluchowski coagulation equation (SCE) to consider a wider range of kernels that can be associated with coagulation models, including those exhibiting complex growth behaviors. A key result of this work is the derivation of conditions under which the total mass of the system is conserved over time, even when the coagulation kernel is non-homogeneous. We provide two theorems along with their corresponding proofs to formalize the mentioned conditions.

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