The optimal time decay rates for the compressible Oldroyd-B model in ℝ3
The optimal time decay rates for the compressible Oldroyd-B model in ℝ3
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DOI：
10.1080/00036811.2023.2197452
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发表时间：
2023-04
影响因子：
1.1
通讯作者：
Yuhui Chen;Minling Li;Qinghe Yao;Z. Yao
中科院分区：
文献类型：
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作者：
Yuhui Chen;Minling Li;Qinghe Yao;Z. Yao
本文考虑了barrett - lu - s<s:1> li [Commun]独立导出的三维可压缩Oldroyd-B模型全局解的高阶空间导数的最优时间衰减率。数学。科学。基于可压缩Navier-Stokes-Fokker-Planck系统的微观宏观分析[j] .光子学报，15(5):1265 - 1323,2017。我们证明了在$ H^3 $ H3框架下，可压缩Oldroyd-B模型全局小解的三阶空间导数衰减速率为$ (1+t)^{-\frac 94} $ (1+t)−94，而不是王文[数学]提出的$ (1+t)^{-\frac 74} $ (1+t)−74。模型、方法、应用。科学。科学通报，30(1):139-179,2020]。这种衰减速率与热方程解的衰减速率一致，因此是最优的。
In this paper, we consider the optimal time decay rates of the higher order spatial derivatives of global solution for the three-dimensional compressible Oldroyd-B model, which was derived independently by Barrett-Lu-Süli [Commun. Math. Sci., 15(5): 1265–1323, 2017] via micro–macro analysis of the compressible Navier–Stokes–Fokker–Planck system. We show that under $ H^3 $ H3 framework, the third-order spatial derivatives of global small solution of the compressible Oldroyd-B model decay at the rate $ (1+t)^{-\frac 94} $ (1+t)−94 instead of $ (1+t)^{-\frac 74} $ (1+t)−74 stated by Wang-Wen [Math. Models Methods Appl. Sci., 30(1): 139–179, 2020]. This decay rate is optimal in the sense that it coincides with that of solutions to heat equation.