Entropy Method for Hypocoercive BGK and Fokker-Planck Equations
Offered By: ICTP Mathematics via YouTube
Course Description
Overview
Syllabus
Intro
degenerate Fokker-Planck equations with linear drift
degenerate prototype with w = 1
coefficients C. Din Fokker-Planck equation
review of entropy method
admissible relative entropies (for entropy method) for probability densities
Step 1: exponent decay of entropy dissipation for D=const
Step 2. exponential decay of relative entropy for Deconst Theorem 4
problem of entropy decay (cp. standard entropy method)
Step 1: exponential decay of auxiliary functional S.
Proof of Proposition 2 - modified entropy method
(parabolic) regularization of semigroup e
local vs. global decay rate in non-symmetric FP equations decay of logarithmic entropy for the non-symmetric FP equation
Why does the hypocoercive method work?
Taught by
ICTP Mathematics
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