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Long time behaviour and self-similarity in an addition model with slow Input of monomers

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We consider a coagulation equation with constant coefficients and a time dependent power law input of monomers. We discuss the asymptotic behaviour of solutions as \(t \to \infty\), and we prove solutions converge to a similarity profile along the non-characteristic direction.

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Coagulation equation Long time behaviour Self-similarity

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Sasportes, Rafael - Long time behaviour and self-similarity in an addition model with slow input of monomers. In Bourguignon, Jean-Pierre [et al.], eds. - "Mathematics of energy and climate change" [Em linha]. [S.l.] : Springer, 2015. ISBN 978-3-319-16121-1. 18 p.

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