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The Redner–Ben-Avraham–Kahng coagulation system with constant coefficients: the finite-dimensional case

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Abstract

We study the behaviour as \({t \to \infty}\) of solutions (c j (t)) to the Redner–Ben-Avraham–Kahng coagulation system with positive and compactly supported initial data, rigorously proving and slightly extending results originally established in Redner et al. (J Phys A Math Gen 20:1231–1238, 1987) by means of formal arguments.

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References

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Authors and Affiliations

  1. Departamento de Ciências e Tecnologia, Universidade Aberta, Lisbon, Portugal

    F. P. da Costa & R. Sasportes

  2. Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    F. P. da Costa & R. Sasportes

  3. Departamento de Matemática and Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal

    J. T. Pinto

Authors
  1. F. P. da Costa
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  2. J. T. Pinto
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  3. R. Sasportes
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Corresponding author

Correspondence to J. T. Pinto.

Additional information

We thank an anonymous referee for the careful reading of the manuscript and for calling our attention to a sloppy argument in the original proof of Lemma 3.3. This work was partially supported by FCT under Strategic Project—LA 9—2013–2014.

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da Costa, F.P., Pinto, J.T. & Sasportes, R. The Redner–Ben-Avraham–Kahng coagulation system with constant coefficients: the finite-dimensional case. Z. Angew. Math. Phys. 66, 1375–1385 (2015). https://doi.org/10.1007/s00033-014-0485-7

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  • DOI: https://doi.org/10.1007/s00033-014-0485-7

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