ERC Workshop on Optimal Transportation and Applications
timetable:
Thu 8 Nov, 10:00 - 10:50, Aula Dini
<< Go back
On Gradient Structures and Geodesic Convexity for Energy-reaction-diffusion Systems and Markov Chains
speaker: Alexander Mielke (WIAS, Berlin)abstract: We show that reaction-diffusion systems satisfying a detailed-balance condition can be formulated in a natural way as a gradient system for the relative entropy. We also consider time-continuous Markov chains and quantum-mechanical systems as Hamiltonian systems with a dissipation driven by entropy. We address the analytical difficulties in generalizing the metric concepts from scalar conservation problems to general systems. Some results concerning geodesic lambda-convexity are provided.
timetable:
Thu 8 Nov, 10:00 - 10:50, Aula Dini
<< Go back