The singular kernel coagulation equation with multifragmentation

Carlos Cueto Camejo; Gerald Warnecke

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arXiv · 1210.1571

The singular kernel coagulation equation with multifragmentation

Carlos Cueto Camejo·Gerald Warnecke

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Abstract

In this article we prove the existence of solutions to the singular coagulation equation with multifragmentation. We use weighted $L^1$-spaces to deal with the singularities and to obtain regular solutions. The Smoluchowski kernel is covered by our proof. The weak $L^1$ compactness methods are applied to suitably chosen approximating equations as a base of our proof. A more restrictive uniqueness result is also given.

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Carlos Cueto Camejo, Gerald Warnecke. 2013-10-29. The singular kernel coagulation equation with multifragmentation. https://arxiv.org/abs/1210.1571

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