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

doi:10.1007/s10473-024-0307-8

摘要/Abstract

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

Abstract: 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.

Key words: thermomechanical Cucker-Smale model, Stokes equations, strong solutions, global existence

中图分类号:

35A05

Weiyuan Zou. THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THERMOMECHANICAL CUCKER-SMALE-STOKES QUATIONS IN THE WHOLE DOMAIN[J]. 数学物理学报(英文版), 2024, 44(3): 887-908.

Weiyuan Zou. THE GLOBAL EXISTENCE OF STRONG SOLUTIONS TO THERMOMECHANICAL CUCKER-SMALE-STOKES QUATIONS IN THE WHOLE DOMAIN[J]. Acta mathematica scientia,Series B, 2024, 44(3): 887-908.

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