Disproof of a conjectured inequality arising in the theory of magnetic flux diffusion
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...
|Published in:||Journal of Mathematical Physics, Vol. 30, No. 12 (1989), p. 2947-2950|
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