摘要
对三维变系数Burgers方程进行了化简,通过假设得到了三维Burgers方程的Cole-Hopf变换,并且利用此变换将Burgers方程简化为标准热传导方程的形式.这种方法不仅为流体力学中的Burgers方程提供了一种求解方法,而且也解决了一种高维非线性变系数偏微分方程.
The three dimensional partial differential Burgers equation with variable coefficients was simplified,and the Cole-Hopf transformation for Burgers equation was obtaind.Through this transformation the Burgers equation was linearized into the standard heat conduction equation.This method not only provides a solving method for Burgers equation in the fluid mechanics,and also solves a high-dimensional nonlinear partial differential equation with variable coefficients.
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2016年第3期243-246,共4页
Journal of Inner Mongolia University：Natural Science Edition
基金
内蒙古自然科学基金面上项目(2015MS0113)
内蒙古自治区高等学校科学研究一般项目(NJZY14109)资助
