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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| Published in | Electronic journal of qualitative theory of differential equations Vol. 2001; no. 5; pp. 1 - 16 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
University of Szeged
2001
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| Online Access | Get full text |
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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. |
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| ISSN: | 1417-3875 1417-3875 |
| DOI: | 10.14232/ejqtde.2001.1.5 |