论文标题
扩散的OldRoyd-B模型的最佳时间预期估计
Optimal time-decay estimates for a diffusive Oldroyd-B model
论文作者
论文摘要
在本文中，我们研究了扩散的OldRoyd-B模型的高阶空间衍生物的最佳时间衰减速率。正如黄港王Zi（J.微分方程306：456-491，2022）的第1.2节中指出的那样，如何估算该模型解决方案最高级空间衍生物的最佳衰减估计值仍然是一个开放问题。由Wang-Wen（Sci。ChinaMath。65：1199-1228，2022）的动机，我们通过对解决方案的低频和高频部分的一些微妙分析给出了积极的答案。
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.
