Optimal time-decay estimates for a diffusive Oldroyd-B model
Analysis of PDEs
2022-12-08 v2
Abstract
In this paper, we study the optimal time decay rates for the higher order spatial derivatives of solutions to a diffusive Oldroyd-B model. As pointed out in the Section 1.2 of Huang-Wang-Wen-Zi (J. Differential Equations 306: 456-491, 2022), how to estiblish the optimal decay estimate for the highest-order spatial derivatives of the solution to this model is still an open problem. Motivated by Wang-Wen (Sci. China Math. 65: 1199-1228, 2022), we give a positive answer to this problem via some delicate analyses on the low and high frequency parts of the solution.
Keywords
Cite
@article{arxiv.2209.01331,
title = {Optimal time-decay estimates for a diffusive Oldroyd-B model},
author = {Yinghui Wang},
journal= {arXiv preprint arXiv:2209.01331},
year = {2022}
}
Comments
A revised version with more details