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The paper is a continuation of a previous work of the same authors dealing with homogenization processes for some energies of integral type arising in the modeling of rubber-like elastomers. The previous paper took into account the general case of the homogenization of energies in presence of pointwise oscillating constraints on the admissible deformations.… (More)

- Youcef Amirat, Olivier Bodart, Umberto De Maio, Antonio Gaudiello
- SIAM J. Math. Analysis
- 2004

We study the asymptotic behavior of the solution of the Laplace equation in a domain, a part of which boundary is highly oscillating. The motivation comes from the study of a longitudinal flow in an infinite horizontal domain bounded at the bottom by a wall and at the top by a rugose wall. The latter is a plane covered with periodic asperities which size… (More)

We consider a quasilinear Neumann problem with exponent p 2]1; +1, in a multido-main of R N , N 2, consisting of two vertical cylinders, one placed upon the other: the rst one with given height and small cross section, the other one with small height and given cross section. Assuming that the volumes of the two cylinders tend to zero with same rate, we… (More)

This paper is composed of two parts. In the first part, via a reduction dimension method, we derive a one-dimensional minimization problem involving S2 valued maps for a thin T-shaped multidomain. In the second one, we analyze this limit model.

A.G.: Dipartimento di Automazione, Elettromagnetismo, Ingegneria dell’Informazione e Matematica Industriale, Università di Cassino, Via G. Di Biasio 43, 03043 Cassino (FR), Italia; e-mail: gaudiell@unina.it R.M: CERMICS, Ecole Nationale des Ponts et Chaussées, 6 et 8 Avenue Blaise Pascal, Cité Descartes, 77455 Champs-sur-Marne Cedex 2, France; e-mail:… (More)

We consider a thin multidomain of R , N ≥ 2, consisting of two vertical cylinders, one placed upon the other: the first one with given height and small cross section, the second one with small thickness and given cross section. In this multidomain we study the asymptotic behavior, when the volumes of the two cylinders vanish, of a Laplacian eigenvalue… (More)

In this paper, starting from the classical 3D micromagnetic energy, we determine, via an asymptotic analysis, the free energy of two joined ferromagnetic thin films. We distinguish different regimes depending on the limit of the ratio between the small thicknesses of the two films.

We consider a thin multidomain of R consisting of two vertical cylinders, one placed upon the other: the first one with given height and small cross section, the second one with small thickness and given cross section. The first part of this paper is devoted to analyze, in this thin multidomain, a ”static Landau-Lifshitz equation”, when the volumes of the… (More)

We consider a thin multidomain of R3 consisting of two vertical cylinders, one placed upon the other: the first one with given height and small cross section, the second one with small thickness and given cross section. The first part of this paper is devoted to analyze, in this thin multidomain, a “static Landau–Lifshitz equation”, when the volumes of the… (More)

- A Sanna, U De Marinis, M Macchini, A Gaudiello
- Mondo ortodontico
- 1986