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Regularity for coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
journal contribution
posted on 2023-06-08, 17:20 authored by P Constantin, C Fefferman, E S Titi, A ZarnescuWe consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The particles add stress to the fluid and the fluid carries and deforms the particles. Because the particles perform rapid random motion, we assume that the density of particles is carried by a time average of the fluid velocity. The resulting coupled system is shown to have smooth solutions at all values of parameters, in two spatial dimensions.
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Publication status
- Published
Journal
Communications in Mathematical PhysicsISSN
0010-3616Publisher
Springer VerlagExternal DOI
Issue
3Volume
270Page range
789-811Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-05-18Usage metrics
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