Dienstag, 23.07.2013, 14:00 Uhr
Variational methods and up-scaling for a GENERIC system
Manh Hong Duong (Universiteit Eindhoven)
In this talk, we discuss the connections between a Vlasov-Fokker-Planck equation and an underlying microscopic particle system, and we interpret those connections in the context of the GENERIC framework (Öttinger 2005). This interpretation provides (a) a variational formulation for GENERIC systems, (b) insight into the origin of this variational formulation, and (c) an explanation of the origins of the conditions that GENERIC places on its constitutive elements, notably the so-called degeneracy or non-interaction conditions. This work shows how the general connection between large-deviation principles on one hand and gradient-flow structures on the other hand extends to non-reversible particle systems. If time permits we will discuss how we can use the variational formulation to study a multi-scale problem.
Zeit: 14:00 Uhr
Ort: Hauptgebäude, Seminarraum 114 (1. Etage), Templergraben 55, 52062 Aachen