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

Sasportes, Rafael2015-09-022016-09-012015Sasportes, 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.978-3-319-16120-4978-3-319-16121-1http://hdl.handle.net/10400.2/4441We 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.engCoagulation equationLong time behaviourSelf-similarityLong time behaviour and self-similarity in an addition model with slow Input of monomersbook part10.1007/978-3-319-16121-1_17