PDE Real Analysis Seminar

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Date, time & place Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.)

2012/02/01

10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Chun Liu (University of Tokyo / Penn State University)
Energetic variational approach: generalized diffusion, stochastic differential equations and optimal transport (ENGLISH)
[ Abstract ]
In the talk, I will explore the general framework of energetic variational approaches, which are the direct consequences of classical isothermal thermodynamics, and their particular applications in generalized diffusion problems. In particular, we reveal the roles of different stochastic integrations (Ito's form, Stratonovich's form and other possible forms) and the Wasserstein metric and the procedure of optimal transport in the context of general framework of theories of linear responses.