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

**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 2015-01-09 09:46:50*

**Authors:** Sergey V. Ershkov

**Comments:** 7 Pages. Keywords: Glacier dynamics, basal slip, glacial ice, Riccati ODE

A new exact solution of Glacier dynamics is presented here in terms of viscous-plastic theory of movements for 2-dimensional profile (x, y), where x(t) = y(t). Such a 2-D solution of Glacier dynamics could be associated with Riccati’s type in general case. Due to a very special character of Riccati’s type ordinary differential equation, it’s general solution is proved to have a proper gap for the components of a solution.
It means a possibility of sudden gradient catastrophe at definite meaning of time-parameter (for 2-D flat profile of Glacier, (x, y)-components of ice velocity moving).
So, Glacier might be moving suddenly with acceleration periodically: (x, y)-components of ice velocity achieve hundred meters /per day from few meters (per day).

**Category:** Mathematical Physics