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Gevrey class regularity of the magnetohydrodynamics equations

Published online by Cambridge University Press:  17 February 2009

Sangjeong Kim
Sangjeong Kim
Affiliation:
Korean Minjok Leadership Academy, 1334, Sosa, Anheung, Hoengsung, Kangwon, 225–823, Korea; e-mail: 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 Hr-norms and that the solutions become smooth immediately after the initial time.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 3 , January 2002 , pp. 397 - 408
Copyright
Copyright © Australian Mathematical Society 2002

References

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