论文标题
拉格朗日表述，一般相对论类似物和冰川学的对称性
Lagrangian formulation, a general relativity analogue, and a symmetry of the Vialov equation of glaciology
论文作者
论文摘要
使用合适的自变量重新缩放，为非线性小葡萄干方程发现了lagrangian，该方程统治了浅冰近似中冰川和冰盖的纵向概况。这导致了（重新缩放的）Vialov方程与相对论宇宙学的弗里德曼方程之间的形式类比，这是探索的。此上下文提供了（重新定化的）Vialov方程的新对称性，并至少使用生成函数形式化了其所有溶液，这是完美塑料冰的简并案例的NYE配置文件。
Using a suitable rescaling of the independent variable, a Lagrangian is found for the nonlinear Vialov equation ruling the longitudinal profiles of glaciers and ice caps in the shallow ice approximation. This leads to a formal analogy between the (rescaled) Vialov equation and the Friedmann equation of relativistic cosmology, which is explored. This context provides a new symmetry of the (rescaled) Vialov equation and gives, at least formally, all its solutions using a generating function, which is the Nye profile for the degenerate case of perfectly plastic ice.
