线性偏微分方程中Green矩阵的傅里叶变换
Fourier Transform of Green Matrices in Linear Partial Differential Equations
DOI: 10.12677/pm.2024.143096, PDF,    科研立项经费支持
作者: 刘 梅, 陆富强：贵州师范大学数学科学学院，贵州 贵阳
关键词: 傅里叶变换；Green矩阵；Navier-Stokes-Poisson方程；Fourier Transform； Green Matrix； Navier-Stokes-Poisson Equation
摘要: 本文介绍了Gronwall不等式及傅里叶变换的性质与推论，应用傅里叶变换法分析三维Navier-Stokes- Poisson (NSP)方程与三维可压缩Navier-Stokes-Korteweg方程的格林矩阵，得到NSP方程与Navier-Stokes-Korteweg方程的傅里叶变换。
Abstract: In this paper, the properties and inferences of Gronwall inequality and Fourier transform are introduced, and the Fourier transform of the NSP equation and the Navier-Stokes-Korteweg equation is analyzed by using the Fourier transform method, and the Fourier transform of the NSP equation and the Navier-Stokes-Korteweg equation is obtained.
文章引用：刘梅, 陆富强. 线性偏微分方程中Green矩阵的傅里叶变换[J]. 理论数学, 2024, 14(3): 164-171. https://doi.org/10.12677/pm.2024.143096

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