Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains

Gianni Dal Maso; François Murat

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Displaying similar documents to “Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains”

A generalized strange term in Signorini’s type problems

Carlos Conca, François Murat, Claudia Timofte (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period $ε$ is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as $ε \to 0$ . In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming...

Homogenization of $p$ -laplacian in perforated domain

B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski (2009)

Annales de l'I.H.P. Analyse non linéaire

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Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Michel Bellieud (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the homogenization of parabolic or hyperbolic equations like $ρ_{ε} \frac{\partial^{n} u_{ε}}{\partial t^{n}} - div (a_{ε} \nabla u_{ε}) = f in Ω \times (0, T) + boundary conditions, n \in {1, 2},$ when the coefficients $ρ_{ε}$ , $a_{ε}$ (defined in $Ø$ ) take possibly high values on a $ε$ -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.

Admissible functions in two-scale convergence.

Valadier, Michel (1997)

Portugaliae Mathematica

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Suboptimal boundary controls for elliptic equation in critically perforated domain

Ciro D&amp;#039;Apice, Umberto De Maio, Peter I. Kogut (2008)

Annales de l'I.H.P. Analyse non linéaire

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Optimal control and “strange term" for a Stokes problem in perforated domains.

Saint Jean Paulin, J., Zoubairi, H. (2002)

Portugaliae Mathematica. Nova Série

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Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in $R^{3}$

Khalid Benmlih, Otared Kavian (2008)

Annales de l'I.H.P. Analyse non linéaire

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Displaying similar documents to “Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains”

A generalized strange term in Signorini’s type problems

Homogenization of p -laplacian in perforated domain

Homogenization of evolution problems for a composite medium with very small and heavy inclusions

Admissible functions in two-scale convergence.

Suboptimal boundary controls for elliptic equation in critically perforated domain

Optimal control and “strange term" for a Stokes problem in perforated domains.

Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in R 3

Homogenization of $p$ -laplacian in perforated domain

Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger–Poisson systems in $R^{3}$