64 citations · 117 across the 23 of their papers we have counts for
Showing 2013 · math.APShow all
3 papers · 2 filters
math.AP2013
Isotropic realizability of electric fields around critical points
Marc Briane
In this paper we study the isotropic realizability of a given regular gradient field as an electric field, namely when is solution of the equation $÷\left(\si…
math.AP2013★ 2 cited
First Bloch eigenvalue in high contrast media
Marc Briane, Muthusamy Vanninathan
This paper deals with the asymptotic behavior of the first Bloch eigenvalue in a heterogeneous medium with a high contrast $\ep Y$-periodic conductivity. When the conductivity is b…
math.AP2013★ 12 cited
Which electric fields are realizable in conducting materials?
Marc Briane, Graeme W. Milton, Andrejs Treibergs
In this paper we study the realizability of a given smooth periodic gradient field defined in $\RR^d$, in the sense of finding when one can obtain a matrix conductivity…