Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids

Young Pil Choi, Seung Yeal Ha, Jinwook Jung, Jeongho Kim

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We study a global dynamics of the thermomechanical Cucker-Smale (TCS) particles immersed in incompressible viscous fluid. For this, we use a coupled system consisting of kinetic TCS equation for particles and incompressible Navier-Stokes for fluid via a drag force in three dimensions. We first show the global existence of weak solutions for large data, and then establish the global existence and uniqueness of strong solutions under a smallness assumption on the initial data. We also provide a priori estimate of large-time behavior of strong solutions which exhibits an exponential alignment between TCS particles and fluid asymptotically.

Original languageEnglish
Pages (from-to)1597-1640
Number of pages44
JournalNonlinearity
Volume32
Issue number5
DOIs
Publication statusPublished - 2019 Apr 12

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids'. Together they form a unique fingerprint.

Cite this