Existence and attractors of solutions for nonlinear parabolic systems

We prove existence and asymptotic behaviour results for weak solutions of a mixed problem (S). We also obtain the existence of the global attractor and the regularity for this attractor in $\left[H^{2}(\Omega )\right] ^{2}$ and we derive estimates of its Haussdorf and fractal dimensions.

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2001, Vol.2001 (5), p.1-16
Main Authors: El Ouardi, Hamid, El Hachimi, Abderrahmane
Format: Article
Language:English
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Summary:We prove existence and asymptotic behaviour results for weak solutions of a mixed problem (S). We also obtain the existence of the global attractor and the regularity for this attractor in $\left[H^{2}(\Omega )\right] ^{2}$ and we derive estimates of its Haussdorf and fractal dimensions.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2001.1.5