期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1997
卷号：20
DOI：10.1155/S0161171297000823
出版社：Hindawi Publishing Corporation
摘要：In this article we will investigate reflection and dissipation of Alfvén waves, resulting
from a uniform vertical magnetic field, in a viscous, resistive and isothermal atmosphere. It is shown that
the atmosphere may be divided into two distinct regions connected by an absorbing and reflecting
transition layer. In the transition layer the reflection, dissipation and absorption of the magnetic energy of
the waves take place and in it the kinematic viscosity changes from small to large values. In the lower
region the effect of the resistive diffusivity and kinematic viscosity changes from small to large values. In
the lower region the effect of the resistive diffusivity and kinematic viscosity is negligible and in it the
solution can be represented as a linear combination of two, incident and reflected, propagating waves
with different wavelengths and different dissipative factors. In the upper region the effect of the resistive
diffusivity and kinematic viscosity is large and the solution, which satisfies the prescribed boundary
conditions, will behave as a constant. The reflection coefficient, the dissipative factors are determined
and the conclusions are discussed in connection with solar heating.
