Variational approximation of size-mass energies for<i>k</i>-dimensional currents
Variational approximation of size-mass energies for<i>k</i>-dimensional currents
In this paper we produce a Γ-convergence result for a class of energies F ε,a k modeled on the Ambrosio-Tortorelli functional. For the choice k = 1 we show that F ε,a 1 Γ-converges to a branched transportation energy whose cost per unit length is a function f a n …