Zhaonan Luo, Wei Luo, Zhaoyang Yin
Published 2020-11-23Version 1
In this paper we mainly study large time behavior for the strong solutions of the finite extensible nonlinear elastic (FENE) dumbbell model. There is a lot results about the $L^2$ decay rate of the co-rotation model. In this paper, we consider the general case. We prove that the optimal $L^2$ decay rate of the velocity is $(1+t)^{-\frac{d}{4}}$ with $d\geq 2$. This result improves the previous result in \cite{Luo-Yin}.
The improved decay rate for the heat semigroup with local magnetic field in the plane
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations
Equilibrium and eigenfunctions estimates in the semi-classical regime
![QR code for arXiv:2011.12176 [math.AP]](http://oss.arxitics.com/images/favicon.svg)