Asymptotically finite dimensional pullback behaviour of non-autonomous PDEs
✍ Scribed by J.A. Langa
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 115 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0003-889X
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📜 SIMILAR VOLUMES
We study the asymptotic behaviour of non-autonomous 2D Navier-Stokes equations in unbounded domains for which a Poincaré inequality holds. In particular, we give sufficient conditions for their pullback attractor to have finite fractal dimension. The existence of pullback attractors in this framewor
## Abstract The asymptotic behaviour and stability properties are studied for a real two‐dimensional system __x__^′^(__t__) = A(__t__)__x__ (__t__) + B(__t__)__x__ (__θ__ (__t__)) + __h__ (__t__, __x__ (__t__), __x__ (__θ__ (__t__))), with a nonconstant delay __t__ ‐ __θ__ (__t__) ≥ 0. It is suppos