Existence and attractors of solutions for nonlinear parabolic systems

H. El Ouardi, E.N.S.E.M, Maroc
A. El Hachimi, University Chouaib Doukkali, El Jadida, Maroc

E. J. Qualitative Theory of Diff. Equ., No. 5. (2001), pp. 1-16.

Abstract: 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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