EXPONENTIALLY-STABLE STEADY FLOW AND ASYMPTOTIC BEHAVIOR FOR THE MAGNETOHYDRODYNAMIC EQUATIONS

Ferreira, Lucas C. F.; Villamizar-Roa, Elder J.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

EXPONENTIALLY-STABLE STEADY FLOW AND ASYMPTOTIC BEHAVIOR FOR THE MAGNETOHYDRODYNAMIC EQUATIONS

Author(s):	Ferreira, Lucas C. F. ^[1] ; Villamizar-Roa, Elder J. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil ^[2] Univ Nacl Colombia Medellin, Escuela Matemat, Medellin 3840 - Colombia Total Affiliations: 2
Document type:	Journal article
Source:	COMMUNICATIONS IN MATHEMATICAL SCIENCES; v. 9, n. 2, p. 499-516, JUN 2011.
Web of Science Citations:	2
Abstract
In this paper we study the stability of steady solutions for the magnetohydrodynamic equations in a bounded domain of R(3). We obtain a class of steady solutions in the Lebesgue space L(sigma)(3) x L(sigma)(3), which are exponentially stable. In particular, we prove the existence of fast decaying strong solutions for the non-steady magnetohydrodynamic equations. (AU)

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