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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 17
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 6, December 2010
  4. Singularly perturbed 1D Cahn–Hilliard equation revisited
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 6, December 2010
Singularly perturbed 1D Cahn–Hilliard equation revisited
Eigenfunctions for singular fully nonlinear equations in unbounded domains
Lipschitz continuity and semiconcavity properties of the value function of a stochastic control problem
Nonlinear elliptic boundary value problem with equivalued surface in a domain with thin layer
Deterministic homogenization of integral functionals with convex integrands
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 5, October 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 4, August 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 3, June 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 2, April 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 17, Issue 1, February 2010
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Singularly perturbed 1D Cahn–Hilliard equation revisited

Content Provider SpringerLink
Author Grasselli, Maurizio Miranville, Alain Bonfoh, Ahmed
Copyright Year 2010
Abstract We consider a singular perturbation of the one-dimensional Cahn–Hilliard equation subject to periodic boundary conditions. We construct a family of exponential attractors $${\{{\mathcal M}_\epsilon\}, \epsilon\geq 0}$$ being the perturbation parameter, such that the map $${\epsilon \mapsto {\mathcal M}_\epsilon}$$ is Hölder continuous. Besides, the continuity at $${\epsilon=0}$$ is obtained with respect to a metric independent of $${\epsilon.}$$ Continuity properties of global attractors and inertial manifolds are also examined.
Ending Page 695
Page Count 33
Starting Page 663
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 6
Volume Number 17
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2010-04-30
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Inertial manifolds and other invariant attracting sets Robust exponential attractors Cahn–Hilliard equations Analysis Singular perturbations Inertial manifolds Global attractors Dynamic and nonequilibrium phase transitions (general) Asymptotic behavior of solutions
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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