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

  • 演讲者:黄忠淦(犹他大学)

  • 时间:2026-06-22 14:00-15:00

  • 地点:理学院大楼M616

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.