On resistive dissipation of Alfvén waves in an isothermal atmosphere. (English) Zbl 0856.76090

Alkahby, H. Y.

Int. J. Math. Math. Sci. 19, No. 3, 587-594 (1996).

The incompressible Alfvén waves are considered in an isothermal and semibounded stellar atmosphere located at the half-space \(z\geq 0\). The medium is assumed to be a dissipative fluid of a finite electrical resistivity in presence of a uniform magnetic field oriented vertically. By applying proper boundary conditions to the solutions of the related linearized MHD equations, a wave reflection coefficient was calculated at \(z=0\), and a wave damping length was evaluated. The obtained results are discussed in terms of an application to the solar coronal heating.

Reviewer: V.Čadež (Palma)

MSC:

76W05	Magnetohydrodynamics and electrohydrodynamics
85A30	Hydrodynamic and hydromagnetic problems in astronomy and astrophysics
85A20	Planetary atmospheres

Keywords:

dissipative fluid of finite electrical resistivity; linearized MHD equations; wave reflection coefficient; wave damping length; solar coronal heating