Abstract.
An alternative proof of the convergence to self-similar profiles for solutions to the Smoluchowski coagulation equation with constant coagulation kernel is provided. In contrast to the previous approaches which rely on the Laplace transform, a dynamical systems approach is used on the equation written in self-similar variables, for which several Liapunov functionals are identified.
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Laurençot, P., Mischler, S. Liapunov Functionals for Smoluchowski’s Coagulation Equation and Convergence to Self-Similarity. Mh Math 146, 127–142 (2005). https://doi.org/10.1007/s00605-005-0308-1
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DOI: https://doi.org/10.1007/s00605-005-0308-1