Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 26, Issue 4, Pages 1185-1196Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcds.2010.26.1185
Keywords
Navier-Stokes equations; nonlinear Fokker-Planck equations; global existence
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Funding
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0820054] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- 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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