Shape flows for spectral optimization problems
  We consider a general formulation of gradient flow evolution for problems whose natural framework is the one of metric spaces. The applications we deal with are concerned with the evolution of {\it capacitary measures} with respect to the $\gamma$-convergence dissipation distance and with the evolution of domains in spectral optimization problems. 
Dorin Bucur, Giuseppe Buttazzo, Ulisse Stefanelli
math.AP math.OC