The fragmentation equation with size diffusion: Small and large size behavior of stationary solutions

Author:

Laurençot Philippe,Walker Christoph

Abstract

<p style='text-indent:20px;'>The small and large size behavior of stationary solutions to the fragmentation equation with size diffusion is investigated. It is shown that these solutions behave like stretched exponentials for large sizes, the exponent in the exponential being solely given by the behavior of the overall fragmentation rate at infinity. In contrast, the small size behavior is partially governed by the daughter fragmentation distribution and is at most linear, with possibly non-algebraic behavior. Explicit solutions are also provided for particular fragmentation coefficients.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Modeling and Simulation,Numerical Analysis

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