Global classical solutions for a compressible fluid-particle interaction model

Myeongju Chae, Kyungkeun Kang, Jihoon Lee

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

We consider a system coupling the compressible Navier-Stokes equations to the Vlasov-Fokker-Planck equation on three-dimensional torus. The coupling arises from a drag force exerted by each other. We establish the existence of the global classical solutions close to an equilibrium, and further prove that the solutions converge to the equilibrium exponentially fast.

Original languageEnglish
Pages (from-to)537-562
Number of pages26
JournalJournal of Hyperbolic Differential Equations
Volume10
Issue number3
DOIs
Publication statusPublished - 2013 Sep

Bibliographical note

Funding Information:
M. Chae’s work was supported by the National Research Foundation of Korea (NRF-2011-0028951). K. Kang’s work was partially supported by NRF-2012R1A1A2001373. J. Lee’s work was partially supported by NRF-2011-0006697.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics(all)

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