A note on the fractal dimension of attractors of dissipative dynamical systems
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Publication:5935352
DOI10.1016/S0362-546X(99)00309-0zbMath1153.37438MaRDI QIDQ5935352
Vladimir V. Chepyzhov, Alexei A. Ilyin
Publication date: 2001
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Navier-Stokes equationsattractorsreaction-diffusion systemapplications to evolution equationsFractal dimension
Semigroups of nonlinear operators (47H20) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)
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Cites Work
- On the Schrödinger equation and the eigenvalue problem
- A note on Kaplan-Yorke-type estimates on the fractal dimension of chaotic attractors
- Infinite-dimensional dynamical systems in mechanics and physics.
- Attractors for Navier-Stokes equations in domains with finite measure
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