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On mathematical tools for studying partial differential equations of continuum physics : H-measures and Young measures
journal contributionposted on 1992-01-01, 00:00 authored by Luc Tartar
Abstract: "Some basic results concerning the mathematical tools of Young measures and H-measures are described on a few examples. This includes questions of homogenization, in cases of small amplitude homogenization and in cases where nonlocal effects occur, and questions of propagation of oscillations and concentration effects for a scalar hyperbolic equation and for the wave equation. An application to the relaxation of a functional arising in micromagnetics is given, based on partial knowledge of the relations between Young measures and H-measures."