Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems
timetable:
Mon 5 Jun, 17:05 - 17:35, Sala Stemmi
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seminar: Hydrodynamic limit for diffusive systems with bond disorder
speaker: Milton Jara (IMPA)abstract: We prove hydrodynamic limit and equilibrium fluctuations in a diffusive scaling forgradient systems in a reversible random environment. We prove that the effectivediffusion coefficient is the product of the diffusion coefficient of the system in anon-random environment, and the effective diffusion coefficient for the homogenization problem associated to the random environment. In particular, even at the level of fluctuations, we prove that the random environment appears in thehydrodynamic limit only as a parametric correction to the diffusion coefficient of the system.
timetable:
Mon 5 Jun, 17:05 - 17:35, Sala Stemmi
<< Go back