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J. Korean Math. Soc. 1998; 35(4): 869-880

Printed December 1, 1998

Copyright © The Korean Mathematical Society.

Integral estimates of magnetohydrodynamics equations

Sangjeong Kim

Seoul National University

Abstract

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In this paper, we show that the weak solutions of the time-dependent Magnetohydrodynamics equations in 3 dimensional periodic domain belong to $L^{\frac{2}{2r-1}}(0,T;V_r)$ following the method of Foias-Guillop\'e-Temam for Navier-Stokes equations.

Keywords: Magnetohydrodynamics equations, integral estimate

MSC numbers: 76W05

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