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math.AP2021★ 12 cited
New extremal inclusions and their applications to two-phase composites
Liping Liu, Richard James, Perry Leo
In this paper, we find a class of special inclusions that have the same property with respect to second order linear partial differential equations as holds for ellipsoids. That is…
math.AP2019
Bounds on the energy of a soft cubic ferromagnet with large magnetostriction
Raghavendra Venkatraman, Vivekanand Dabade, Richard D. James
We complete the analysis initiated in [5] on the micromagnetics of cubic ferromagnets in which the role of magnetostriction is significant. We prove ansatz-free lower bounds for th…