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

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。

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.