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On the Fundamental Solution of a Linearized Homogeneous Coagulation Equation

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Abstract

We describe the fundamental solution of the equation that is obtained by linearization of the coagulation equation with kernel K(x, y) = (xy)λ/2, around the steady state f(x) = x −(3+λ)/2 with \({\lambda \in (1, 2)}\) . Detailed estimates on its asymptotics are obtained. Some consequences are deduced for the flux properties of the particles distributions described by such models.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, E–48080, Bilbao, Spain

    Miguel Escobedo

  2. ICMAT (CSIC-UAM-UC3M-UCM) Facultad de Matemáticas, Universidad Complutense, E–28040, Madrid, Spain

    J. J. L. Velázquez

Authors
  1. Miguel Escobedo
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  2. J. J. L. Velázquez
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Correspondence to Miguel Escobedo.

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Communicated by A. Kupiainen

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Escobedo, M., Velázquez, J.J.L. On the Fundamental Solution of a Linearized Homogeneous Coagulation Equation. Commun. Math. Phys. 297, 759–816 (2010). https://doi.org/10.1007/s00220-010-1058-z

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  • DOI: https://doi.org/10.1007/s00220-010-1058-z

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