Differential and Integral Equations

On an existence theorem of global strong solutions to the magnetohydrodynamic system in three-dimensional exterior domains

Norikazu Yamaguchi

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Abstract

In this paper we study the initial-boundary-value problem for the magnetohydrodynamic system in three-dimensional exterior domains. We show an existence theorem of global in time strong solutions for small $L^3$-initial data and we also show its asymptotic behavior when time goes to infinity.

Article information

Source
Differential Integral Equations, Volume 19, Number 8 (2006), 919-944.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356050341

Mathematical Reviews number (MathSciNet)
MR2263435

Zentralblatt MATH identifier
1212.35357

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics
Secondary: 35B40: Asymptotic behavior of solutions 76D03: Existence, uniqueness, and regularity theory [See also 35Q30] 76W05: Magnetohydrodynamics and electrohydrodynamics

Citation

Yamaguchi, Norikazu. On an existence theorem of global strong solutions to the magnetohydrodynamic system in three-dimensional exterior domains. Differential Integral Equations 19 (2006), no. 8, 919--944. https://projecteuclid.org/euclid.die/1356050341


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