Matched asymptotics, conformal capacity, and applications #

Hiroyuki Miyoshi, Darren G Crowdy

11:50 Tuesday in 2Q49.

Part of the IMA Lighthill-Thwaites prize session.

Abstract #

Conformal capacity is a mathematical quantity relevant to a wide range of physical and mathematical problems and there has been a recent resurgence of interest in devising new methods for its computation. In this talk we will show how ideas from matched asymptotics can be used to derive explicit estimates for conformal capacity. The formulas derived here are explicit, and evidence is given that they provide excellent approximations to the exact capacity values even well outside the expected range of validity.