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Smoluchowski’s discrete coagulation equation with forcing

  • Christian Kuehn
  • Sebastian ThromEmail author
Article
  • 34 Downloads

Abstract

In this article we study an extension of Smoluchowski’s discrete coagulation equation, where particle in- and output takes place. This model is frequently used to describe aggregation processes in combination with sedimentation of clusters. More precisely, we show that the evolution equation is well-posed for a large class of coagulation kernels and output rates. Additionally, in the long-time limit we prove that solutions converge to a unique equilibrium with exponential rate under a suitable smallness condition on the coefficients.

Keywords

Discrete Smoluchowski equation Coagulation Forcing Equilibrium Exponential convergence 

Mathematics Subject Classification

34A34 34D05 82C21 82C05 

Notes

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Research Unit “Multiscale and Stochastic Dynamics”, Faculty of MathematicsTechnical University of MunichGarching bei MünchenGermany
  2. 2.Departamento de Matemática Aplicada, Facultad de CienciasUniversity of GranadaGranadaSpain

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