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Finite-Dimensional Attractors and Exponential Attractors for the Navier--Stokes Equations of Compressible Flow

SIAM Journal on Mathematical Analysis, 2003
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
Hoff, David, Ziane, Mohammed
openaire   +2 more sources

A uniformly exponential random forward attractor which is not a pullback attractor

Archiv der Mathematik, 2002
The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
openaire   +2 more sources

Exponential Attractors

2004
Albert J. Milani, Norbert J. Koksch
openaire   +2 more sources

Global and exponential attractors for a nonlinear porous elastic system with delay term

Discrete and Continuous Dynamical Systems - Series B, 2021
Baowei Feng, Dos Santos, M J
exaly  

Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results

Communications on Pure and Applied Analysis, 2013
Stefanie Sonner
exaly  

Pullback exponential attractors for differential equations with variable delays

Discrete and Continuous Dynamical Systems - Series B, 2020
Stefanie Sonner
exaly  

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