4.5 Article Proceedings Paper

GLOBAL REGULARITY OF SOLUTIONS OF COUPLED NAVIER-STOKES EQUATIONS AND NONLINEAR FOKKER PLANCK EQUATIONS

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 26, Issue 4, Pages 1185-1196

Publisher

AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcds.2010.26.1185

Keywords

Navier-Stokes equations; nonlinear Fokker-Planck equations; global existence

Funding

  1. Direct For Mathematical & Physical Scien
  2. Division Of Materials Research [0820054] Funding Source: National Science Foundation
  3. Division Of Mathematical Sciences
  4. Direct For Mathematical & Physical Scien [1240743] Funding Source: National Science Foundation

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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.

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