速度依赖性斯莫卢霍夫斯基凝固方程

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-08-08 DOI:10.1137/22m1540594

Franco Flandoli, Ruojun Huang, Andrea Papini

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引用次数: 0

摘要

SIAM 数学分析期刊》，第 56 卷第 4 期，第 5634-5677 页，2024 年 8 月。摘要我们介绍了斯莫卢霍夫斯基凝固方程的一个变体，它是一个既有位置变量又有速度变量的动力学方程，是二阶微观凝固粒子系统的缩放极限。我们将重点放在空间均质情况下[math]系统的严格研究上，证明了在合适的加权空间中不同初始条件下的存在性和唯一性，还研究了这种解的正则性。

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Smoluchowski Coagulation Equation with Velocity Dependence

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 5634-5677, August 2024.
Abstract. We introduce a variant of the Smoluchowski coagulation equation as a kinetic equation with both position and velocity variables, which arises as the scaling limit of a system of second-order microscopic coagulating particles. We focus on the rigorous study of the [math] system in the spatially homogeneous case, proving existence and uniqueness under different initial conditions in suitable weighted spaces, investigating also the regularity of such solutions.

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.