Growth–fragmentation–coagulation equations with unbounded coagulation kernels

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Authors

Banasiak, Jacek
Lamb, W.

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Publisher

Royal Society

Abstract

In this paper, we prove the global in time solvability of the continuous growth–fragmentation–coagulation equation with unbounded coagulation kernels, in spaces of functions having finite moments of sufficiently high order. The main tool is the recently established result on moment regularization of the linear growth–fragmentation semigroup that allows us to consider coagulation kernels whose growth for large clusters is controlled by how good the regularization is, in a similar manner to the case when the semigroup is analytic.

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Keywords

Growth–fragmentation–coagulation equation, Unbounded coagulation kernels, Regularization, C0-semigroups, Semilinear problems

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Citation

Banasiak, J. & Lamb, W. 2020, 'Growth–fragmentation–coagulation equations with unbounded coagulation kernels', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 378, no. 2185.