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arXiv · 2303.09475

Fast fusion in a two-dimensional coagulation model

Iulia Cristian·Juan J. L. Velázquez
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Abstract

In this work, we study a particular system of coagulation equations characterized by two values, namely volume $v$ and surface area $a$. Compared to the standard one-dimensional models, this model incorporates additional information about the geometry of the particles. We describe the coagulation process as a combination between collision and fusion of particles. We prove that we are able to recover the standard one-dimensional coagulation model when fusion happens quickly and that we are able to recover an equation in which particles interact and form a ramified-like system in time when fusion happens slowly.

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Iulia Cristian, Juan J. L. Velázquez. 2023-03-16. Fast fusion in a two-dimensional coagulation model. https://doi.org/10.1016/j.matpur.2024.02.004

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