摘要
研究了刻画一维空间中等熵可压流体运动规律的Navier-Stokes方程的泛函分离变量解.利用微分及分裂的方法把泛函微分方程简化为标准的双线性泛函方程并求解此泛函方程,建立了一维等熵Navier-Stokes方程的几类泛函分离变量解.
The solutions of functional separation of variables to compressible Navier-Stokes equation in one dimensional space are discussed.By virtue of differentiation and splitting method,some functional differential equations are simplified to the standard bilinear functional equations.And by solving these functional equations,several special forms of the solutions of functional separation of variables are obtained.
出处
《陕西师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第1期11-15,共5页
Journal of Shaanxi Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10671156)
西北大学研究生创新基金项目(07YZZ17)
关键词
二阶偏微分方程
等熵Navier-Stokes方程
泛函分离变量解
微分及分裂法
second order partial differential equation
isothermal compressible Navier-Stokes equations
solution of functional separation of variables
differentiation and splitting method.
