2 papers
math.AP2024
Weighted Energy-Dissipation approach to semilinear gradient flows with state-dependent dissipation
Goro Akagi, Ulisse Stefanelli, Riccardo Voso
We investigate the Weighted Energy-Dissipation variational approach to semilinear gradient flows with state-dependent dissipation. A family of parameter-dependent functionals defin…
math.OC2024
Optimal control of gradient flows via the Weighted Energy-Dissipation method
Takeshi Fukao, Ulisse Stefanelli, Riccardo Voso
We consider a general optimal control problem in the setting of gradient flows. Two approximations of the problem are presented, both relying on the variational reformulation of gr…