FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 1, PAGES 147-160

On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference

N. Ch. Krutitskaya
P. A. Krutitskii
G. Yu. Malysheva

Abstract

View as HTML     View as gif image

The explicit solution of the boundary value problem for harmonic functions is constructed in the exterior of a cut in a plane. The skew derivative boundary condition is specified at the cut placed along a circumference. The problem describes the dynamics of the electron plasma in the magnetized semiconductor film with the electrode placed at the arc of a circumference. The problem is solved by reduction to the Riemann--Hilbert problem for analitic complex functions. The solution of the Riemann--Hilbert problem is obtained explicitly.

Location: http://mech.math.msu.su/~fpm/eng/96/961/96107h.htm
Last modified: March 19, 2005