On the dynamics of a fluid-particle interaction model: The bubbling regime

J. A. Carrillo, T. Karper, K. Trivisa

Research output: Contribution to journalArticleResearchpeer-review

30 Citations (Scopus)

Abstract

This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space Ω⊂R 3 which may be unbounded. The system under investigation describes the evolution of particles dispersed in a viscous compressible fluid and is expressed through the conservation of fluid mass, the balance of momentum and the balance of particle density often referred as the Smoluchowski equation. The coupling between the dispersed and dense phases is obtained through the drag forces that the fluid and the particles exert mutually by the actionreaction principle. We show that solutions exist globally in time under reasonable physical assumptions on the initial data, the physical domain, and the external potential. Furthermore, we prove the large-time stabilization of the system towards a unique stationary state fully determined by the masses of the initial density of particles and fluid and the external potential. © 2011 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)2778-2801
JournalNonlinear Analysis, Theory, Methods and Applications
Volume74
DOIs
Publication statusPublished - 1 May 2011

Keywords

  • Compressible and viscous fluid
  • Fluid-particle interaction model
  • Global-in-time existence
  • Large data
  • Large-time behaviour
  • Smoluchowski equation

Fingerprint Dive into the research topics of 'On the dynamics of a fluid-particle interaction model: The bubbling regime'. Together they form a unique fingerprint.

Cite this