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Lower bound on the dimension of the attractor for the bénard problem with free surfaces

✍ Scribed by Alain Miranville


Book ID
107967598
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
532 KB
Volume
25
Category
Article
ISSN
0362-546X

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A note on the dimension of the global at
✍ Miroslav Bulíček; Dalibor Pražák 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 314 KB

We study a semilinear hyperbolic problem, written as a second-order evolution equation in an infinite-dimensional Hilbert space. Assuming existence of the global attractor, we estimate its fractal dimension explicitly in terms of the data. Despite its elementary character, our technique gives reason