关键词: 沙丘背风坡, 稳定性分析, 变分法

Abstract: The problem of the lee slope stability of dune is equivalent to the extremal problem of a functional of two-variant function with a variable boundary in this paper. Through the application of Euler's equations and transversal conditions that obtained by using the Variational Principle, the shape function and the relative safety coefficient of the dune's lee slope are determined after consideration of boundary conditions. The width effects of dune are studied and the reason that the barchan dune is formed on the lee slope of dune is given.

Key words: lee slope of dune, stability analysis, variational method