On the existence of Lp solutions of the magnetohydrodynamic equations in a bounded domain

In this paper, we show the existence of L p solutions of the magnetohydrodynamic equations with the non-slip boundary condition and the perfect conducting wall boundary condition. The magnetohydrodynamic equations are a phenomenological model for magnetic fluid.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2003-09, Vol.54 (6), p.1165-1174
1. Verfasser:	Akiyama, Takahiro
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Global solutions Integral equations Lp- Lq estimate Magnetohydrodynamic equations Magnetohydrodynamics and electrohydrodynamics Mathematical analysis Mathematics Parabolic-type Maxwell equations Partial differential equations Physics Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	In this paper, we show the existence of L p solutions of the magnetohydrodynamic equations with the non-slip boundary condition and the perfect conducting wall boundary condition. The magnetohydrodynamic equations are a phenomenological model for magnetic fluid.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/S0362-546X(03)00132-9