THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THERMOMECHANICAL CUCKER-SMALE-STOKES EQUATIONS IN THE WHOLE DOMAIN  

作　　者：邹委员 Weiyuan ZOU(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing,100029,China)

机构地区：[1]College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing,100029,China

出　　处：《Acta Mathematica Scientia》2024年第3期887-908,共22页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (12001033)。

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.

关 键 词：thermomechanical Cucker-Smale model Stokes equations strong solutions global existence 

分 类 号：O175[理学—数学]