一非线性偏微分方程的相似性解方程  

Equation of Similarity Solution for a Non -linear Partial Differential Equation

作　　者：王玉芝[1] 吴军[1] 许学谘[1] 

机构地区：[1]浙江大学力学系,杭州310027

出　　处：《水动力学研究与进展（A辑）》1992年第2期227-232,共6页Chinese Journal of Hydrodynamics

基　　金：浙江省自然科学基金

摘　　要：本文考虑了一非线性偏微分方程,它表示在不同情况下的物理问题的控制方程,应用Morgan方法,得出了相似变量和相似性解方程,并讨论了它的一些特殊情况,即在固体力学和流体力学中某些问题的控制方程及其相应的相似变量和相似性解方程。In this paper, a non-linear partial differential equation is studied, which relates to governing equations of different physical problems in different conditions. Similarity variable and equation of similarity solution are obtained by Morgan method. Furthermore, some special cases, namely,governing equations of some problems in solid mechanics and fluid mechanics, and corresponding similarity variables and equations of similarity solution are discussed.

关 键 词：相似性解 群论 非线性 偏微分方程 

分 类 号：O175.2[理学—数学]