Filippo Gazzola: A minimaxmax problem for improving the torsional stability of rectangular plates

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Abstract: We introduce a new function which measures the torsional instability of a partially hinged rectangular plate. By exploiting it, we compare the torsional performances of different plates reinforced with stiffening trusses. This naturally leads to a shape optimization problem which can be set up through a minimaxmax procedure.

Recording during the thematic meeting : "Shape Optimization and Isoperimetric and Functional Inequalities" the November 22, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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