Exponential attractors for a nonlinear reaction-diffusion system in ?
By Messoud A. Efendiev, Alain Miranville, Sergey Zelik. 2000
238 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/8623dc3b8b2e45eafb816f8eff310ef395e15c29
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Alain Miranville
- Ciprian G. Gal
- Maurizio Grasselli
- Sergey Zelik
- Alexandre Nolasco de Carvalho
- Stefanie Sonner
- Vittorino Pata
- Messoud A. Efendiev
In Computational Theory and Mathematics
- Alain Miranville
- Sergey Zelik
- Ciprian G. Gal
- Maurizio Grasselli
- Hao Wu
- Vittorino Pata
- Alexandre Nolasco de Carvalho
- Stefanie Sonner
In Control and Systems Engineering
- Alain Miranville
- Sergey Zelik
- Ciprian G. Gal
- Stefanie Sonner
- Alexandre Nolasco de Carvalho
- Vittorino Pata
- Chunyou Sun
- Maurizio Grasselli
Citations in the corpus
- ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION (2011, background): “Next, we derive a smoothing property on the difference of two solutions which is the key estimate to prove the existence of exponential attractors (see [6]).”
- Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, methodology): “Thus, we have the following result (see [68] and [71] for a detailed proof).”
- Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems* (2005, background): “An alternative, more explicit, construction of an exponential attractor has been suggested in [ 9 ].”
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D (2010, background): “12 is based on a fundamental result on discrete semigroups (see [22]), which is reported here below for the reader’s convenience.”
- A Cahn–Hilliard model in bounded domains with permeable walls (2006, background): “Different versions of Cahn-Hilliard models were studied extensively by many authors in [4, 5, 14, 16, 18] and the references cited there in.”
- A construction of a robust family of exponential attractors (2005, methodology): “Later, in [1, 3] new methods were introduced, that work in a Banach space setting.”
- Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results (2013, methodology): “This setting was not considered in previous constructions of exponential attractors, where it was always assumed that the family C is a contraction in the weaker space W (among others see [7], [8] and [9]).”