We review some recent, quantitative, progress regarding the large-scale behavior of the (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.
@article{SLSEDP_2021-2022____A1_0, author = {Paul Dario}, title = {Quantitative hydrodynamic limits of the {Langevin} dynamics for gradient interface models}, journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications}, note = {talk:5}, pages = {1--15}, publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2021-2022}, doi = {10.5802/slsedp.146}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.146/} }
TY - JOUR AU - Paul Dario TI - Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:5 PY - 2021-2022 SP - 1 EP - 15 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.146/ DO - 10.5802/slsedp.146 LA - en ID - SLSEDP_2021-2022____A1_0 ER -
%0 Journal Article %A Paul Dario %T Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models %J Séminaire Laurent Schwartz — EDP et applications %Z talk:5 %D 2021-2022 %P 1-15 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.146/ %R 10.5802/slsedp.146 %G en %F SLSEDP_2021-2022____A1_0
Paul Dario. Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models. Séminaire Laurent Schwartz — EDP et applications (2021-2022), Talk no. 5, 15 p. doi : 10.5802/slsedp.146. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.146/
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