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8 papers · 1 filter
Algebrodynamics: Shear-Free Null Congruences and New Types of Electromagnetic Fields
Vladimir V. Kassandrov, Joseph A. Rizcallah, Ivan A. Matveev
We briefly present our version of noncommutative analysis over matrix algebras, the algebra of biquaternions () in particular. We demonstrate that any -differ…
Magnetic steps on the threshold of the normal state
Wafaa Assaad
Superconductivity in the presence of a step magnetic field has been recently the focus of many works. This contribution examines the behavior of a two-dimensional superconducting d…
Approximate Conservation Laws in the KdV Equation
Samer Israwi, Henrik Kalisch
The Korteweg-de Vries equation is known to yield a valid description of surface waves for waves of small amplitude and large wavelength. The equation features a number of conserved…
The ground state energy of the three dimensional Ginzburg-Landau functional. Part~II: Surface regime
S. Fournais, A. Kachmar, M. Persson
We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defin…
Two dimensional representation of the Dirac equation in Non associative algebra
S. Hamieh, H. Abbas
In this note a simple extension of the complex algebra to higher dimension is proposed. Using the postulated algebra a two dimensional Dirac equation is formulated and its solution…
Local existence and uniqueness for a semi-linear accretive wave equation
H. Faour, A. Z. Fino, M. Jazar
We prove local existence and uniqueness of the solution of the semilinear wave equation .