Global solutions to coupled (Navier-)Stokes Newton systems in R 3

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-03-02 DOI:10.3233/asy-221790

M. Hillairet, L. Sabbagh

引用次数: 0

Abstract

We consider the motion of spherical particles in the whole space R 3 filled with a viscous fluid. We show that, when modelling the fluid behavior with an incompressible Stokes system, solutions are global and no collision occurs between the spheres in finite time.

查看原文本刊更多论文

三维耦合(Navier-)Stokes - Newton系统的全局解

我们考虑球形粒子在充满粘性流体的整个空间R 3中的运动。我们证明，当用不可压缩Stokes系统建模流体行为时，解是全局的，并且在有限时间内球体之间不发生碰撞。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.