Global existence of weak solutions for Navier-Stokes-BGK system

Young Pil Choi, Seok Bae Yun

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In this paper, we study the global well-posedness of a coupled system of kinetic and fluid equations. More precisely, we establish the global existence of weak solutions for Navier-Stokes-BGK system consisting of the BGK model of Boltzmann equation and incompressible Navier-Stokes equations coupled through a drag forcing term. This is achieved by combining weak compactness of the particle interaction operator based on Dunford-Pettis theorem, strong compactness of macroscopic fields of the kinetic part relied on velocity averaging lemma and a high order moment estimate, and strong compactness of the fluid part by Aubin-Lions lemma.

Original languageEnglish
Pages (from-to)1925-1955
Number of pages31
Issue number4
Publication statusPublished - 2020 Apr 1

Bibliographical note

Publisher Copyright:
© 2020 IOP Publishing Ltd & London Mathematical Society.

All Science Journal Classification (ASJC) codes

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


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