Some microstructures in three dimensions - Zurich Open Repository and Archive

Chipot, M; Lécuyer, V (2001). Some microstructures in three dimensions. In: Falcone, M; Makridakis, C. Numerical methods for viscosity solutions and applications (Heraklion, 1999). River Edge, NJ: World Scientific, 59-76.

Abstract

The goal of the paper is to analyze the creation of microstructures in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells in dimension three. This forces the minimizing sequences to use other gradients than the wells in a complicated way.

Abstract

The goal of the paper is to analyze the creation of microstructures in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells in dimension three. This forces the minimizing sequences to use other gradients than the wells in a complicated way.