Il giorno giovedì 09.10.2025 alle ore 15.00 (o 10 minuti dopo la fine del consiglio, dovesse durare più a lungo) in Aula D la Prof.ssa Riccarda Rossi (Università di Brescia) terrà il seminario

Time-splitting algorithms for gradient systems with two dissipation mechanism

Abstract: The talk revolves around gradient systems whose evolution is generated by the interplay between an energy functional and two dissipation potentials. We focus on the case in which the dual dissipation potential is given by a sum of two functionals and show that solutions of the associated gradient-flow evolution equation can be constructed by a split-step method, i.e. by solving alternately the gradient systems featuring only one of the dissipation potentials and concatenating the corresponding trajectories. Thereby the construction of solutions is provided either by semiflows, on the time-continuous level, or by using Alternating Minimizing Movements in the time-discrete setting. In both cases the convergence analysis relies on the energy-dissipation principle for gradient systems.
Based on joint work with Alexander Mielke (Berlin) and Artur Stephan (Vienna).