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

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