Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models

Dario, Paul

doi:10.5802/slsedp.146

Dario, Paul ¹

¹ Institut Camille Jordan, Université Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex

Séminaire Laurent Schwartz — EDP et applications (2021-2022), Exposé no. 5, 15 p.

Résumé

We review some recent, quantitative, progress regarding the large-scale behavior of the $\nabla ϕ$ (or Ginzburg-Landau) interface model with uniformly convex potential. The arguments rely on a dynamical approach of the problem (following [32] where the Langevin dynamics associated with the model are studied) combined with recent progress in the field of quantitative stochastic homogenization of nonlinear elliptic equations.

Publié le : 2022-05-24

DOI : 10.5802/slsedp.146

Affiliations des auteurs :

Dario, Paul ¹

¹ Institut Camille Jordan, Université Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedex

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     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2021-2022},
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Dario, Paul. Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models. Séminaire Laurent Schwartz — EDP et applications (2021-2022), Exposé no. 5, 15 p. doi : 10.5802/slsedp.146. http://www.numdam.org/articles/10.5802/slsedp.146/

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