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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2001-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=97 |