Physically admissible solutions of the linearized magnetohydrodynamics equations

Abstract

Solutions of the linearized magnetohydrodynamics equations with straight equilibrium field have been constructed ([6], [7]). The complex frequency ω enters these equations as a parameter. We prove that these solutions either do not depend continuously on the domain of definition or, as functions of ω, they do not behave as Laplace transform should in the half plane of convergence. This shows that the only physically plausible solution of the above equations for homogeneous boundary conditions is zero.

AMS No:

• 34A20
• 76W05