Global regularity of solutions of coupled Navier-stokes equations and nonlinear Fokker planck equations

Peter Constantin, Gregory Seregin

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The proof yields a priori estimates for the growth of spatial gradients.

Original languageEnglish (US)
Pages (from-to)1185-1196
Number of pages12
JournalDiscrete and Continuous Dynamical Systems
Volume26
Issue number4
DOIs
StatePublished - Apr 1 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Keywords

  • Global existence
  • Navier-stokes equations
  • Nonlinear Fokker-Planck equations

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