# Mathematical Physics

## 1106 Submissions

[2] **viXra:1106.0059 [pdf]**
*submitted on 27 Jun 2011*

### The Gauge Theory’s Expansion in the Electro-Magnetic Field

**Authors:** Sangwha Yi

**Comments:** 6 pages.

In the special relativity theory, study the gauge theory in the Electro-magnetic field theory.Using that the
Electro-magnetic potential is 4-vector, treat invariant potential. And the Electro-Magnetic field theory’s
the gauge theory expand.

**Category:** Mathematical Physics

[1] **viXra:1106.0018 [pdf]**
*replaced on 2015-04-08 12:26:22*

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

**Authors:** Sergey V. Ershkov

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

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.

**Category:** Mathematical Physics