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Gevrey class regularity of the magnetohydrodynamics equations
Published online by Cambridge University Press: 17 February 2009
Abstract
In this article, we use the method of Foias and Temam to show that the strong solutions of the time-dependent magnetohydrodynamics equations in a periodic domain are analytic in time with values in a Gevrey class of functions. As immediate corollaries we find that the solutions are analytic in Hr-norms and that the solutions become smooth immediately after the initial time.
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- Copyright © Australian Mathematical Society 2002
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