M. Núñez y J. Rojo

pp. 535-539 in

Oviedo-Gijón, 1991

Abstract:

Small perturbations of a equilibrium plasma satisfy the linearized magnetohydrodynamics equations. These form a mixed elliptic-hyperbolic system that in a straight-field geometry and for a fixed time frequency may be reduced to a single scalar equation ${\rm div} (A_1\,\nabla u)+A_2\, u=0$, where $\alpha _1$ may have singularities in the domain $U$ of definition. We study the case where $U$ is a half-plane and $u$ possesses high Fourier components, analyzing the changes brought about by the singularity $A_1=\infty $. We show that absortion of energy takes place precisely at this singularity, that the solutions have a near harmonic

character and the integrability characteristics of the boundary data are kept throughout~$U$.

AMS(MOS) subject classification: 76W05, 34E05

Preprint file as PDF absorc.pdf