## Exact Solution of 2D Plane-Parallel Flow for Glacier Dynamics

**Authors:** Sergey V. Ershkov

A new exact solution of Glacier dynamics is presented here in terms of viscous-plastic theory of 2-dimensional movements within (x, y)-plane. Most of researchers used to investigate preferably 2D solution of Glacier dynamics in (x, z)-plane: -by using the continuity equation, they obtain (x, z)-profile of Glacier in dependence on initial conditions of ice flow. We proved that (x, y)-component of stress-tensor is a harmonic function, it let us execute the conditions of Liouville's theorem which allow to obtain the exact expression for the components of velocity of Glacier ice flux in (x, y)-directions.

**Comments:** 8 Pages. Keywords: Glacier dynamics, basal slip, glacial ice

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### Submission history

[v1] 11 Jun 2011

[v2] 20 Jun 2011

[v3] 23 Jun 2011

[v4] 2015-01-09 09:46:50

[v5] 2015-03-11 04:08:06

[v6] 2015-03-11 14:27:43

[v7] 2015-04-08 12:26:22

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