Stochastic homogenization of Hamilton-Jacobi equations: an overview of results and challenges

Time：Fri., 16:00-17:00, Nov. 29, 2024

Venue：B548, Shuangqing Complex Building A

Organizer：Wenjia Jing

Speaker：Elena Kosygina

Applied analysis seminar

Organizer：

Wenjia Jing 荆文甲（YMSC）

Speaker：

Elena Kosygina

(NYU Shanghai & CUNY）

Time：

Fri., 16:00-17:00, Nov. 29, 2024

Venue：

B548, Shuangqing Complex Building A

Title：

Stochastic homogenization of Hamilton-Jacobi equations: an overview of results and challenges

Abstract：

Since the pioneering unpublished paper of P.-L. Lions, G. Papanicolaou, S.R.S. Varadhan (circa 1987), where they proposed two different approaches to the homogenization problem for Hamilton-Jacobi equations with periodic Hamitonians, the subject of homogenization of inviscid and viscous Hamilton-Jacobi equations in stationary ergodic media has received a lot of attention. In this talk I shall first give a very brief overview of the topic and then focus on our latest results and open questions. These latest results are the joint work with Atilla Yilmaz from Temple University.

DATENovember 27, 2024

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