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Entropy Method for Hypocoercive BGK and Fokker-Planck Equations
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- 1 Intro
- 2 degenerate Fokker-Planck equations with linear drift
- 3 degenerate prototype with w = 1
- 4 coefficients C. Din Fokker-Planck equation
- 5 review of entropy method
- 6 admissible relative entropies (for entropy method) for probability densities
- 7 Step 1: exponent decay of entropy dissipation for D=const
- 8 Step 2. exponential decay of relative entropy for Deconst Theorem 4
- 9 problem of entropy decay (cp. standard entropy method)
- 10 Step 1: exponential decay of auxiliary functional S.
- 11 Proof of Proposition 2 - modified entropy method
- 12 (parabolic) regularization of semigroup e
- 13 local vs. global decay rate in non-symmetric FP equations decay of logarithmic entropy for the non-symmetric FP equation
- 14 Why does the hypocoercive method work?
