The $L^2$ decay for the 2D co-rotation FENE dumbbell model of polymeric flows
Analysis of PDEs
2018-12-31 v1
Abstract
In this paper we mainly study the long time behaviour of solutions to the finite extensible nonlinear elastic (FENE) dumbbell model with dimension two in the co-rotation case. Firstly, we obtain the decay rate of the velocity of the 2D co-rotation FENE model is with small data. Then, by virtue of the Littlewood-Paley theory, we can remove the small condition. Our obtained sharp result improves considerably the recent results in \cite{Luo-Yin,Schonbek}.
Keywords
Cite
@article{arxiv.1710.08085,
title = {The $L^2$ decay for the 2D co-rotation FENE dumbbell model of polymeric flows},
author = {Wei Luo and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1710.08085},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1603.04148