Attractors for a class of doubly nonlinear parabolic systems

In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2}$ and ${\prod_{i=1}^{2}}{B_{\infty }^{1+\sigma_{...

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Main Authors:	Hamid El Ouardi, Abderrahmane El Hachimi
Format:	Article
Language:	English
Published:	University of Szeged 2006-03-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=237

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spelling	doaj-1b2da6a9f48a4b44975b76fdcf09420f2021-07-14T07:21:19ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752006-03-012006111510.14232/ejqtde.2006.1.1237Attractors for a class of doubly nonlinear parabolic systemsHamid El Ouardi0Abderrahmane El Hachimi1E.N.S.E.M, MarocUFR Mathématiques Appliquées et Industrielles, El Jadida, MarocIn this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2}$ and ${\prod_{i=1}^{2}}{B_{\infty }^{1+\sigma_{i},p_{i}}( \Omega )} $.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=237
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hamid El Ouardi Abderrahmane El Hachimi
spellingShingle	Hamid El Ouardi Abderrahmane El Hachimi Attractors for a class of doubly nonlinear parabolic systems Electronic Journal of Qualitative Theory of Differential Equations
author_facet	Hamid El Ouardi Abderrahmane El Hachimi
author_sort	Hamid El Ouardi
title	Attractors for a class of doubly nonlinear parabolic systems
title_short	Attractors for a class of doubly nonlinear parabolic systems
title_full	Attractors for a class of doubly nonlinear parabolic systems
title_fullStr	Attractors for a class of doubly nonlinear parabolic systems
title_full_unstemmed	Attractors for a class of doubly nonlinear parabolic systems
title_sort	attractors for a class of doubly nonlinear parabolic systems
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2006-03-01
description	In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2}$ and ${\prod_{i=1}^{2}}{B_{\infty }^{1+\sigma_{i},p_{i}}( \Omega )} $.
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=237
work_keys_str_mv	AT hamidelouardi attractorsforaclassofdoublynonlinearparabolicsystems AT abderrahmaneelhachimi attractorsforaclassofdoublynonlinearparabolicsystems
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Attractors for a class of doubly nonlinear parabolic systems

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