In this note, we investigate the spectral analysis and long time asymptotic convergence of semigroups associated to discrete, fractional and classical Fokker-Planck equations in some regime where the corresponding operators are close. We successively deal with the discrete and the classical Fokker-Planck model and the fractional and the classical Fokker-Planck model. In each case, we present results of uniform convergence to equilibrium based on perturbation and/or enlargement arguments and obtained in collaboration with S. Mischler in [7].
@article{SLSEDP_2015-2016____A10_0,
author = {Isabelle Tristani},
title = {Convergence to equilibrium for linear {Fokker-Planck} equations},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:10},
pages = {1--14},
publisher = {Institut des hautes des scientifiques & Centre de mathtiques Laurent Schwartz, ole polytechnique},
year = {2015-2016},
doi = {10.5802/slsedp.83},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.83/}
}
TY - JOUR AU - Isabelle Tristani TI - Convergence to equilibrium for linear Fokker-Planck equations JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:10 PY - 2015-2016 SP - 1 EP - 14 PB - Institut des hautes des scientifiques & Centre de mathtiques Laurent Schwartz, ole polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.83/ DO - 10.5802/slsedp.83 LA - en ID - SLSEDP_2015-2016____A10_0 ER -
%0 Journal Article %A Isabelle Tristani %T Convergence to equilibrium for linear Fokker-Planck equations %J Séminaire Laurent Schwartz — EDP et applications %Z talk:10 %D 2015-2016 %P 1-14 %I Institut des hautes des scientifiques & Centre de mathtiques Laurent Schwartz, ole polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.83/ %R 10.5802/slsedp.83 %G en %F SLSEDP_2015-2016____A10_0
Isabelle Tristani. Convergence to equilibrium for linear Fokker-Planck equations. Séminaire Laurent Schwartz — EDP et applications (2015-2016), Talk no. 10, 14 p. doi : 10.5802/slsedp.83. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.83/
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