Asymptotické chování nelineárních evolučních rovnic hyperbolického typu.
| Autor: | Vostruha, Karel |
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| Jazyk: | čeština |
| Rok vydání: | 2011 |
| Druh dokumentu: | masterThesis |
| Popis: | This work is divided into two thematic parts. In the first part we present the theory of special function spaces - Hα and the proof of existence of a unique weak solution of the studied equation. In the second part we show that the dynamical system induced by the solution semigroup is dissi- pative. We also show that, using the cited methods, an exponential attractor can be constructed for the discrete dynamical system and we give explicit estimation of its fractal dimension. We then apply these results to the model of beam equation with weak damping. 1 |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
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