Abstract\ud A Γ -convergence analysis is used to perform a 3D–2D dimension reduction of variational problems with linear growth. The\ud adopted scaling gives rise to a nonlinear membrane model which, because of the presence of higher order external loadings inducing\ud a bending moment, may depend on the average in the transverse direction of a Cosserat vector field, as well as on the deformation\ud of the mid-plane. The assumption of linear growth on the energy leads to an asymptotic analysis in the spaces of measures and of\ud functions with bounded variation

We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one. This modification appears naturally in porous media when a fluid obeys the Darcy-Forchheimer law instead of the classical Darcy law. We prove global in time existence and uniqueness of solutions without assuming the smallness condition on the initial data. This improves the result obtained for the classical 3D incompressible anisotropic Navier-Stokes equations.MSC Subject Classifications: 35Q30, 35Q35, 76D05, 76D03, 76S05.

We present a method to analyze, monitor and control dynamic memory allocation in Java. It first consists in performing pointer and escape analysis to detect memory scopes. This information is used to automatically instrument Java programs in such a way memory is allocated and freed by a region-based memory manager. Our source code instrumentation fully exploits the result of scope analysis by dynamically mapping allocation places to the region stack at runtime via a registering mechanism. Moreover, it allows executing the same transformed program with different implementations of scoped-memory managers and perform different run-time analysis without changing the transformed code. In particular, we consider a class of managers that handle variable-size regions composed of fixed-size memory blocks for which we provide analytical models for the intra-and inter-region fragmentation. These models can be used to observe and control fragmentation at run-time with negligible overhead. We describe a prototype tool that implements our approach.

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The behavior of a thin curved hyperelastic film bonded to a fixed substrate is described by an energy composed of a nonlinearly hyperelastic energy term and a debonding interfacial energy term. The author computes the Γ-limit of this energy under a noninterpenetration constraint that prohibits penetration of the film into the substrate without excluding contact between them.

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We study a Phase-Field-Crystal model described by a free energy functional involving second order derivatives of the order parameter in a periodic setting and under a fixed mass constraint. We prove a Γ-convergence result in an asymptotic thin-film regime leading to a reduced 2-dimensional model. For the reduced model, we prove necessary and sufficient conditions for the global minimality of the uniform state. We also prove similar results for the Ohta-Kawasaki model.

Hexahedral meshes are structured as a set of ordered layer of hexes which makes local topological modifications difficult to do. For instance, removing an hex generally implies to remove a complete layer of hexes. Few works focus on local topological modifications in hexahedral meshes. In this paper, we provide some results which extend and complete some existing works [1,14,15,17], proving in a first part that the flipping operations defined by M. Bern and D. Eppstein are combinatorially free and showing in a second part how to introduce a Boy surface into a dual mesh. This operation allows us to modify the parity of the number of hexes in the primal mesh, thing that can not be done by the M. Bern and D. Eppstein basis of operations. Résumé. Tout maillage hexaédrique est structuré comme un ensemble ordonné de couches de mailles. Cette structuration rend difficile les modifications topologiques locales du maillage. Par exemple, retirer une maille du maillage nécessite souvent le retrait d'une couche complète de mailles. Peu de travaux s'intéressentà ce problème. Dans ce papier, nous donnons différents résultats quiétendent et complètent des travaux existants [1, 14, 15, 17] prouvant dans une première partie que les opérations de flipping définies par M. Bern et D. Eppstein sont libres (au sens combinatoire) et montrant dans une seconde partie comment introduire concrètement une surface de Boy dans un maillage dual d'un maillage hexaédrique. Ceci permet de modifier la parité du nombre de mailles contenues dans le maillage primal, ce qui n'est pas possible avec la base d'opérations de M. Bern et D. Eppstein.