%0 electronic Article
%E Book, David L.
%E Brun, Todd A.
%D 1989
%G English
%@ 1089-7658
%T Disproof of a conjectured inequality arising in the theory of magnetic flux diffusion
%J Journal of Mathematical Physics
%V 30
%N 12
%P 2947-2950
%U http://dx.doi.org/10.1063/1.528482
%X The conjecture that the magnetic field energy introduced into an imperfectly conducting medium by diffusion is less than the thermal energy produced by the associated Joule heating is shown to imply the positivity of a certain integral operator with an indefinite kernel. Counterexamples are found by means of a variational calculation.