Convergence to self-similarity in an addition model with power-like time-dependent input of monomers

Costa, Fernando Pestana da; Sasportes, Rafael; Pinto, João Teixeira

http://hdl.handle.net/10400.2/1715

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Authors

Costa, Fernando Pestana da

Sasportes, Rafael

Pinto, João Teixeira

Abstract(s)

In this note we extend the results published in Ref. 1 to a coagulation system with Becker-Doring type interactions and time-dependent input of monomers $J_{1}(t)$ of power–like type: $J_{1}(t)/(\alpha t^{\omega }) \rightarrow 1$ as $t \rightarrow \infty$, with $\alpha > 0$ and $\omega > − \frac{1}{2}$. The general framework of the proof follows Ref. 1 but a different strategy is needed at a number of points.

Keywords

Dinâmica de EDOs não-autónomas Equações de coagulação Comportamento assimptótico Comportamento auto-semelhante Dynamics of non-autonomous ODEs Coagulation equations Long-time behaviour Self-similar behaviour

URI

http://hdl.handle.net/10400.2/1715

Citation

Costa, Fernando Pestana da; Pinto, João T.; Sasportes, Rafael - Convergence to self-similarity in an addition model with power-like time-dependent input of monomers. In "Applied and Industrial Mathematics in Italy II [Em linha]: selected Contributions from the 8th SIMAI Conference". Singapora : World Scientific, 2007. ISBN 978-981270987. p. 303-314