On diffusive 2D Fokker-Planck-Navier-Stokes systems
arXiv:1804.05168 · doi:10.1007/s00205-019-01450-0
Abstract
We study models kinetic models of polymeric fluids. We introduce a notion of solutions which is based on moments of polymeric distributions. We prove global existence and uniqueness of a large class of initial data for diffusive systems of kinetic equations coupled to fluid equations. As a corollary, we obtain a rigorous derivation of Oldroyd-B closure. We also prove decay of free energy for all the systems considered.
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