This website requires JavaScript.

On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel

G. BreschiM. A. Fontelos
Dec 2022
摘要
We study the similarity solutions (SS) of Smoluchowski coagulation equationwith multiplicative kernel $K(x,y)=(xy)^{s}$ for $s<\frac{1}{2}$. When $s<0$% ,the SS consists of three regions with distinct asymptotic behaviours. Theappropriate matching yields a global description of the solution consisting ofa Gamma distribution tail, an intermediate region described by a lognormaldistribution and a region of very fast decay of the solutions to zero near theorigin. When $s\in \left( 0,\frac{1}{2}\right) $, the SS is unbounded at theorigin. It also presents three regions: a Gamma distribution tail, anintermediate region of power-like (or Pareto distribution) decay and the regionclose to the origin where a singularity occurs. Finally, full numericalsimulations of Smoluchowski equation serve to verify our theoretical resultsand show the convergence of solutions to the selfsimilar regime.
展开全部
图表提取

暂无人提供速读十问回答

论文十问由沈向洋博士提出,鼓励大家带着这十个问题去阅读论文,用有用的信息构建认知模型。写出自己的十问回答,还有机会在当前页面展示哦。

Q1论文试图解决什么问题?
Q2这是否是一个新的问题?
Q3这篇文章要验证一个什么科学假设?
0
被引用
笔记
问答