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Effective dynamics for stochastic differential equations

Banff International Research Station for Mathematical Innovation and Discovery

In multiscale models for polymeric fluids, the evolution of the polymer chain is usually modeled using an entropic force, computed from the free energy associated with the end-to-end vector. We will present results which aim at justifying under which circumstances such a dynamics is indeed close to the original dynamics based on the full-atom chain. </p> <h5>References:</h5> F. Legoll and T. Lelièvre, <i>Effective dynamics using conditional expectations</i>, Nonlinearity, 23, 2131-2163, (2010).
F. Legoll, T. Lelièvre and S. Olla, <i>Pathwise estimates for an effective dynamics, Stochastic Processes and their Applications</i>, 127, 2841-2863, (2017).
F. Legoll, T. Lelièvre and U. Sharma, <i>Effective dynamics for non-reversible stochastic differential equations: a quantitative study</i>, Nonlinearity, 32(12), 4779, (2019).

Mathematics; Partial differential equations; Fluid mechanics; Fluid dynamics

video/mp4

Author affiliation: Ecole des Ponts

2021-05-24

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/78417

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/