Mathematics of Energy and Climate Change pp 345-364 | Cite as
Long Time Behaviour and Self-similarity in an Addition Model with Slow Input of Monomers
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Abstract
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 → ∞, and we prove solutions converge to a similarity profile along the non-characteristic direction.
Keywords
Unique Minimum Infinite Dimensional System Coagulation Equation Follow Result State Positive Initial Data
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Notes
Acknowledgements
The author thanks an anonymous referee for providing insightful comments and valuable suggestions. Discussions with F.P. da Costa and J.T. Pinto are gratefully acknowledged. This work was partially supported by FCT through CAMGSD.
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