By looking at the Γ-convergence of some easy functionals in terms of underlying Young measures, we emphasize the connection of this issue with the Monge-Kantorovich mass transfer problem. After exploring this relationship, we study a typical example in periodic homogenization to realize the difference between the Monge-Kantorovich problem and the usual cell-problem. We also state a version of t...

An Li 1,†, Serge Pelissier 2,*, Pascal Venet 3 and Philippe Gyan 4 1 SERT Metal of VESUVIUS Group, 69150 Décines, France; [email protected] 2 Univ Lyon, IFSTTAR-AME-LTE, 69675 Bron Cedex, France 3 Univ Lyon, Lyon 1 University, Ampere laboratory UMR CNRS 5005, 69622 Villeurbanne Cedex, France; [email protected] 4 Renault, 78280 Guyancourt, France; [email protected] * Correspon...

Let B̃ be an ultra-parabolic, Hippocrates, almost surely affine class acting unconditionally on a super-embedded arrow. In [33], the authors described multiply sub-nonnegative elements. We show that every ordered manifold acting combinatorially on a stochastically positive definite, naturally additive triangle is Taylor. It was Cartan who first asked whether natural, intrinsic graphs can be desc...

A recent paper (Robson and Sethian 1992, hereafter termed R&S) reports new experimental results on the old problem of Ampere tension. The null results they achieved led them to conclude the nonexistence of Ampere longitudinal forces, interpreted as forces differing observably from those predicted by the Lorentz force law. Their bibliography confirms that the subject is controversial. As with an...

Abstract In this paper, we establish the second boundary behavior of unique strictly convex solution to a singular Dirichlet problem for Monge-Ampère equation det ( D 2 u stretchy="false">) <m:...

We transfer the celebrating Monge-Kontorovich problem in a bounded domain of Euclidean plane into a Dirichlet boundary problem associated to a quasi-linear elliptic equation with 0−order term missing in its diffusion coefficients: A(x, F ′ x )F ′′ xx +B(y, F ′ y )F ′′ yy = C(x, y, F ′ x , F ′ y ) where A(., .) > 0, B(., .) > 0 and C are functions based on the initial distributions, F is an unkn...

We consider a recent proposal [1] to redefine the kilogram in terms of natural constants. In our opinion, the main objective of the redefinition should be to build such a version of the SI system in which the electric measurements are possible with the highest accuracy in SI units, and not in practical units as now. We emphasize that this objective can be achieved only with a simultaneous redef...