Seminar: Stochastic Homogenization and Statistical Mechanics
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Topic A: May 6 (10:00 - 12:00 & 13:30 - 15:30). May 7 (10:00 - 12:00) Topic B: June 15 (14:30 - 16:30). June 16 (10:00 - 12:00 & 14:00 - 16:00 & 16:30 - 18:30) |
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Many natural phenomena are governed by partial differential equations. In studying these phenomena, it is often helpful to consider coefficients that vary randomly on a small scale, leading to their large-scale behavior becoming simpler and more predictable: the fine-scale randomness averages out, yielding an effective, deterministic model with constant coefficients. This averaging process is known as homogenization.
In this seminar we will focus in two main topics related to stochastic homogenization. The first topic (Topic A) its focus on methods for studying the homogenization for a specific class of equations, the Hamilton Jacobi equations (HJ). The second topic (Topic B) is to understand qualitative and quantitave results of homogenization for elliptic PDEs. |
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