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arXiv · 2211.06693

Smoluchowski coagulation equation with velocity dependence

Franco Flandoli·Ruojun Huang·Andrea Papini
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Abstract

In the present article we introduce a variant of Smoluchowski's coagulation equation with both position and velocity variables taking a kinetic viewpoint arising as the scaling limit of a system of second-order (microscopic) coagulating particles. We focus on the rigorous study of the PDE system in the spatially-homogeneous case proving existence and uniqueness under different initial conditions in suitable weighted space, investigating also the regularity of such solutions.

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Franco Flandoli, Ruojun Huang, Andrea Papini. 2022-11-12. Smoluchowski coagulation equation with velocity dependence. https://arxiv.org/abs/2211.06693

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