ANZIAM J.
43 (2002), 397-408
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Gevrey class regularity of the magnetohydrodynamics equations
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Sangjeong Kim
Korean Minjok Leadership Academy
1334, Sosa, Anheung
Hoengsung, Kangwon 225-823
Korea
urchin@minjok.hs.kr
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Abstract
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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 H r-norms
and that the solutions become smooth
immediately after the initial time.
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