二维凝固模型中的快速融合

IF 2.1 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-03-01 DOI:10.1016/j.matpur.2024.02.004

Iulia Cristian , Juan J.L. Velázquez

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引用次数: 0

摘要

在这项工作中，我们研究了一个特殊的凝固方程系统，该系统以两个值（即体积和表面积）为特征。与标准的一维模型相比，该模型包含了有关颗粒几何形状的额外信息。我们将凝结过程描述为粒子碰撞和融合的结合。我们证明，当融合迅速发生时，我们能够恢复标准的一维凝固模型；当融合缓慢发生时，我们能够恢复粒子相互作用并及时形成类似柱状系统的方程。

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Fast fusion in a two-dimensional coagulation model

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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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.