A diffusion equation for composite materials.

El Hajji, Mohamed

Displaying similar documents to “A diffusion equation for composite materials.”

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...

The periodic unfolding method in perforated domains.

Cioranescu, Doina, Donato, Patrizia, Zaki, Rachad (2006)

Portugaliae Mathematica. Nova Série

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Homogenization of linearized elasticity systems with traction condition in perforated domains.

El Hajji, Mohamed (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Correctors for flow in a partially fissured medium.

Rajesh, M. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Symmetry theorems via the continuous Steiner symmetrization.

Ragoub, L. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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

Gianni Dal Maso, François Murat (2004)

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

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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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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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Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems

Mihai Bostan, Eric Sonnendrücker (2006)

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

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We study the existence of spatial periodic solutions for nonlinear elliptic equations $- Δ u + g (x, u (x)) = 0, x \in ℝ^{N}$ where $g$ is a continuous function, nondecreasing w.r.t. $u$ . We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions $g$ are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical...