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arXiv · 2207.09518

Non-power law constant flux solutions for the Smoluchowski coagulation equation

Marina A. Ferreira·Jani Lukkarinen·Alessia Nota·Juan J. L. Velázquez
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Abstract

It is well known that for a large class of coagulation kernels, Smoluchowski coagulation equations have particular power law solutions which yield a constant flux of mass along all scales of the system. In this paper, we prove that for some choices of the coagulation kernels there are solutions with a constant flux of mass along all scales which are not power laws. The result is proved by means of a bifurcation argument.

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Marina A. Ferreira, Jani Lukkarinen, Alessia Nota, Juan J. L. Velázquez. 2022-07-19. Non-power law constant flux solutions for the Smoluchowski coagulation equation. https://arxiv.org/abs/2207.09518

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