Affiliation:
1. Dipartimento di Matematica University of Bologna, 40126 Bologna, Italy
Abstract
Abstract
Let G be a free Carnot group (i.e. a connected simply connected nilpotent stratified free Lie group) of step 2. In this paper, we prove that the variational functional generated by “intrinsic” Maxwell’s equations in G is the Γ-limit of a sequence of classical (i.e. Euclidean) variational functionals associated with strongly anisotropic dielectric permittivity and magnetic permeability in the Euclidean space.
Subject
General Mathematics,Statistical and Nonlinear Physics
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