The global existence of strong solutions to thermomechanical Cucker-Smale-Stokes equations in the whole domain

被引：0
作者：
Weiyuan Zou
机构：
[1] Beijing University of Chemical Technology,College of Mathematics and Physics
来源：
Acta Mathematica Scientia | 2024年 / 44卷
关键词：
thermomechanical Cucker-Smale model; Stokes equations; strong solutions; global existence; 35A05; 35D35;
D O I：
暂无
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学科分类号：
摘要：
We study the global existence and uniqueness of a strong solution to the kinetic thermomechanical Cucker-Smale (for short, TCS) model coupled with Stokes equations in the whole space. The coupled system consists of the kinetic TCS equation for a particle ensemble and the Stokes equations for a fluid via a drag force. In this paper, we present a complete analysis of the existence of global-in-time strong solutions to the coupled model without any smallness restrictions on the initial data.
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页码：887 / 908
页数：21
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