Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems*

By Messoud A. Efendiev, Sergey Zelik, Alain Miranville. Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2005

139 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/ddc6d677772403ffef28dc531b87d5a4ec64ed81

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Chunyou Sun
2. Stefanie Sonner
3. Alexandre Nolasco de Carvalho
4. Messoud A. Efendiev
5. Alain Miranville

In Control and Systems Engineering

1. Chunyou Sun
2. Stefanie Sonner
3. Alexandre Nolasco de Carvalho
4. Alain Miranville
5. Messoud A. Efendiev
6. R. Czaja
7. Sergey Zelik
8. Bixiang Wang

In Modeling and Simulation

1. Chunyou Sun
2. Stefanie Sonner
3. Alexandre Nolasco de Carvalho
4. Alain Miranville
5. Bixiang Wang

Citations in the corpus

• Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications (2013, methodology): “An algorithm for the construction of non-autonomous exponential attractors was first developed in [12] for discrete evolution processes, where the authors considered forwards exponential attractors.”
• Asymptotic regularity for some dissipative equations (2010, methodology): “As a direct application of these asymptotic regularity results, we obtain the exponential attractors immediately by some interpolation inequalities (for reaction–diffusion equation) and the methods devised in [13,23] (for wave-type equation); see Corollary 3.”
• Pullback exponential attractors for nonautonomous equations Part I: Semilinear parabolic problems (2011, background): “A result of this type, but for discrete pullback exponential attractors, was already presented in [10].”
• ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION (2011, background): “Robust exponential attractors We first recall the following result concerning the construction of a robust family of exponential attractors for a discrete dynamical system (see [7]; see also [8], [10], [11], [12] and [13] for generalizations): Proposition 5.”