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

5 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

Fingerprint

Global Dynamics
viscous fluids
Viscous Fluid
Incompressible Fluid
Ensemble
Strong Solution
Global Existence
Fluids
Incompressible Navier-Stokes
Fluid
Drag Force
Existence of Weak Solutions
Large Time Behavior
fluids
Large Data
uniqueness
A Priori Estimates
Coupled System
drag
Drag

All Science Journal Classification (ASJC) codes

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

Cite this

Choi, Young Pil ; Ha, Seung Yeal ; Jung, Jinwook ; Kim, Jeongho. / Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids. In: Nonlinearity. 2019 ; Vol. 32, No. 5. pp. 1597-1640.
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Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluids. / Choi, Young Pil; Ha, Seung Yeal; Jung, Jinwook; Kim, Jeongho.

In: Nonlinearity, Vol. 32, No. 5, 12.04.2019, p. 1597-1640.

Research output: Contribution to journalArticle

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