Research-Homogenization of a Vertical Oscillating Neumann Condition and Rate-Independent Pinning

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Homogenization of a Vertical Oscillating Neumann Condition and Rate-Independent Pinning

Speaker: Zhonggan Huang （the University of Utah）
Time: Jun 22, 2026, 14:00-15:00
Location: Room M616, College of Science Building

Abstract

I will introduce my recent work with my advisor Will Feldman on the homogenization of a parabolic equation with its Neumann condition oscillating in the "vertical" u-variable. The resulting PDE shows a novel singular anisotropic pinned Neumann condition, which involves an emerging free boundary. I will explain the technique and its connection to capillary droplet motions on rough surfaces and other free boundary problems. I will also highlight some open problems.