Approximate group analysis for equations of subisothermal glaciers dynamics
type: Item
instance of: scholarly article
title: Approximate group analysis for equations of subisothermal glaciers dynamics
zbMATH Open document ID: 0835.35007
author: S. L. Tonkonog
published in: Russian Mathematics
publication date: 1995-09-17T00:00:00Z
review text: The equation of subisothermal glaciers dynamics with small budget of ice mass is investigated. This equation is represented in the form of the following PDE system \[ u_t= (u^2 \sigma^n)_x+ \varepsilon(t, x, u, \sigma),\qquad \sigma= uu_x, \] where \(t\) is the time, \(x\) is the longitudinal coordinate, the unknown function \(u(t, x)\) describes the free surface of the glacier, \(\varepsilon\Phi\) is the budget of ice mass, and \(\varepsilon\) is a small parameter. Functions \(\Phi\) such that this system admits an approximate to within \(O(\varepsilon^2)\) one- parameter symmetry group are found. Approximate to within \(O(\varepsilon^2)\) invariant solutions of these systems are obtained.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 58J70
zbMATH DE Number: 794574
zbMATH Keywords: subisothermal glaciers dynamics
zbMATH Keywords: symmetry group
zbMATH Keywords: invariant solutions
reviewed by: Valeriy Yumaguzhin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 794574