三维不可压缩黏弹性流体Green函数的逐点估计
The Pointwise Estimate of the Green Function for 3-D Incompressible Viscoelastic Fluids
DOI: 10.12677/AAM.2025.144217, PDF,    科研立项经费支持
作者: 罗一帆, 白一格*：太原理工大学数学学院，山西 晋中
关键词: 逐点估计；Green函数；黏弹性流体；Pointwise Estimate； Green’s Function； Viscoelastic Fluids
摘要: 在本文中，我们研究三维不可压黏弹性流体的柯西问题。 首先我们引入合适的变量变换然后研究变化后方程组的线性系统的Green函数。 然后，我们应用复分析的方法得到在有限马赫数区域内关于Green 函数更精确的逐点估计。 最后我们获得关于方程组解的线性部分的更精确的逐点估 计。
Abstract: In this paper, we investigate the Cauchy problem of the 3-D incompressible viscoelastic flow. Fisrt, we introduce suitable variable transformations and then investigate the Green’s function of the linearized system for the transformed equations. Then, we apply complex analytic methods to obtain more precise pointwise estimates of the Green’s function in finite Mach number region. Finally, we obtain more accurate pointwise estimates for the linear component of the solution.
文章引用：罗一帆, 白一格. 三维不可压缩黏弹性流体Green函数的逐点估计[J]. 应用数学进展, 2025, 14(4): 927-943. https://doi.org/10.12677/AAM.2025.144217

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