Mathematical and numerical study of a kinetic model describing the evolution of planetary rings

被引：1

作者：

Charles, Frederique ^{[1
]}

Massimini, Annamaria ^{[2
]}

Salvarani, Francesco ^{[3
,4
]}

机构：

[1] Sorbonne Univ, Univ Paris, CNRS, Lab Jacques Louis LJLL L, F-75005 Paris, France

[2] Tech Univ Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

[3] Leonard De Vinci Pole Univ, Res Ctr, F-92916 Paris, France

[4] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 143卷

基金：

奥地利科学基金会;

关键词：

Vlasov equations; Particle method; Evolutionary domain; SATURNS RINGS; STABILITY;

D O I：

10.1016/j.camwa.2023.04.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a kinetic model describing the evolution of planetary dust under the action of a planet and its satellites. In particular, we focus our attention on the formation of planetary rings and the role of shepherd moons. The equation describing the considered physical phenomenon is of Vlasov type, posed in an evolutionary domain in time. We first study some theoretical properties of the model. Then, we describe a numerical method, suitable for the study of kinetic equations in evolutionary domains with possibly complicated geometries. Finally, we show and comment some simulations. In particular, our numerical simulations show that shepherd moons play a key role in the formation and maintenance of divisions between rings.

引用

页码：48 / 56

页数：9

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