M. Núñez y J.
Rojo
Absorcion de energía por
resonancia Alfvénica en una configuración unidimensional
de plasma
pp. 535-539 in
II Congreso de Matemática Aplicada / XII CEDYA
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