JEDP 2019

The « Journées Équations aux Dérivées Partielles » is the annual conference of the CNRS groupement de recherche « Analyse des équations aux dérivées partielles ».

The JEDP 2019 conference will take place

Monday June 3rd — Friday June 7th 2019 in Obernai (Alsace),

at the VVF Villages, where all participants will be accommodated.

The conference will start on June 3rd at 4 pm. The last talk will finish on June 7th at 12 am.

Lecture (6h)

Scott Armstrong (New York University)
« Quantitative stochastic homogenization »

Abstract: In this course I will discuss large-scale asymptotics of solutions of elliptic equations (in divergence form) with random coefficients. This is closely related to the behavior of reversible diffusions in random environments, since random elliptic operators are generators of such diffusions. We will focus on identifying the optimal rate of convergence for homogenization and ultimately describe the law of the fluctuations of solutions. Our approach involves renormalization arguments in which we progressively « coarsen the coefficient field » over larger and larger scales and combines this with ideas from elliptic regularity. Time permitting, I will discuss adaptations of these ideas to the homogenization of the kinetic Fokker-Planck equation, which is related to hypoelliptic diffusions in random media.

 

Invited speakers

Joackim Bernier (École Normale Supérieure de Rennes)
Piotr Bizoń (Jagiellonian University, Poland)
Timothy Candy (University of Otago, New Zealand)
François Hamel (Université d’Aix-Marseille)
Flaviana Iurlano (CNRS & Sorbonne Université)
Oana Ivanovici (CNRS & Université Nice-Sophia-Antipolis)
Lysianne Hari (Université de Bourgogne Franche-Comté)
Pierre-Emmanuel Jabin (University of Maryland, USA)
Jérôme Le Rousseau (Université Paris 13)
Fabricio Macià (Universidad Politécnica de Madrid, Spain)
Piotr Mucha (University of Warsaw, Poland)
Sergio Simonella (CNRS & École Normale Supérieure de Lyon)
Julien Vovelle (CNRS & École Normale Supérieure de Lyon)

 

The conference will start on June 3rd at 4 pm. The last talk will finish on June 7th at 12 am.

Registration closed

With the financial support of the CNRS, the Grand Est region and the city of Obernai

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