Non-local symmetry of equation of one-dimensional flow of a sub- isothermal glacier
type: Item
instance of: scholarly article
title: Non-local symmetry of equation of one-dimensional flow of a sub- isothermal glacier
zbMATH Open document ID: 0830.35100
published in: Russian Mathematics
publication date: 1994-10-05T00:00:00Z
review text: Computing the symmetry group for the equation \[ {\partial \ell \over \partial t} = {\partial \over \partial x} \left\{ (\ell - \ell_0)^2f \Biggl[ (\ell - \ell_0) \Bigl |{ \partial \ell \over \partial x} \Bigr |\Biggr] \right\} \] yields a 6-parametric group \(t' = \alpha_1 + \alpha_4t\), \(x'=\alpha_2+\alpha_5x\), \(v' = \alpha_3 + \alpha_6v\), where \(\ell - \ell_0 = v_x\). Here \(\ell - \ell_0\) is the thickness of a glacier, \(\ell_0 (x)\) is the basement level, \(f\) is a function determined by the ice rheology.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 86A40
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 640175
zbMATH Keywords: flow of a sub-isothermal glacier
zbMATH Keywords: symmetry group
author: T. Zh. Esirkepov
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640175