On diffusive 2D Fokker-Planck-Navier-Stokes systems
Analysis of PDEs
2019-10-23 v3
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.
Cite
@article{arxiv.1804.05168,
title = {On diffusive 2D Fokker-Planck-Navier-Stokes systems},
author = {Joonhyun La},
journal= {arXiv preprint arXiv:1804.05168},
year = {2019}
}