Seminario di equazioni differenziali e applicazioni: “A Resolution of the Poisson Problem for Elastic Plates”

Giovedì 16 Maggio 2019, ore 12:00 - Sala Riunioni 701 - Francesco Palmurella


Giovedì 16 Maggio 2019 alle ore 12:00 in Sala Riunioni 701, Francesco Palmurella (ETH, Zurigo) terrà un seminario dal titolo “A Resolution of the Poisson Problem for Elastic Plates”.

The Poisson problem consists in finding a surface immersed in the Euclidean space minimising Germain's elastic energy (known as Willmore energy in geometry) with assigned boundary, boundary Gauss map and area; it constitutes a non-linear model for the equilibrium state of thin, clamped elastic plates.
We present a solution, and discuss its partial boundary regularity, to a variationally equivalent version of this problem when the boundary curve is simple and closed, as in the most classical version of the Plateau problem.
This is a Joint work with F. Da Lio & T. Riviere.

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