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giesbec

Prof. Dr. Heiner Olbermann (Université de Louvain, Belgien) via ZOOM: Energy scaling for a conically constrained sector

Wednesday, 09.12.2020 14:15

Mathematik und Informatik

We consider a thin elastic sheet in the shape of a sector that is clamped along the curved part of the boundary, and left free at the remainder. On the curved part, the boundary conditions agree with those of a conical deformation. We prove upper and lower bounds for the Föppl-von-Karman energy under the assumption that the out-of-plane component of the deformation is convex. The lower bound is optimal in the sense that it matches the upper bound in the leading order with respect to the thickness of the sheet. As a corollary, we obtain a new estimate for the Monge-Ampère equation in two dimensions. (Joint work with Peter Gladbach)



Angelegt am Monday, 07.12.2020 14:50 von giesbec
Geändert am Friday, 08.01.2021 15:56 von giesbec
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