Abstract
In this paper, we prove the global-in-time and uniform-in-ϵ existence of the 1-d complete equations for an electromagnetic fluid in a bounded interval without vacuum, where ϵ is the dielectric constant. Consequently, the limit as ϵ→0 can be established. This approximation is usually referred to as the magnetohydrodynamic approximation, and is equivalent to the neglect of the displacement current.
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