M. Núñez, J.
Rojo and L.A. Tristan
Singularities arising in
the linearized magnetohydrodynamics equations
The Second International Conference on Dynamic Systems and Applications,
May 20-27, Atlanta, Georgia (USA), 1995
Proc. of Dynamical
Systems and Applications, 2 (1996), pp. 429-434
Abstract:
The magnetohydrodynamics equations
in a cylinder linearized around an equilibrium state with vertical magnetic
field reduce to a single singular second order partial differential equation
where the time frequency enters as a parameter. Although there could exist
whole families of solutions depending on arbitrary values at the singularity
[1], only one of them is physically correct. We analyze theoretically and
numerically the problem and the physical consequences of our results.
AMS(MOS) subject classification:
76W05, 35C10
Preprint file as PDF singu2.pdf