Calculus of Variations and Geometric Measure Theory
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The wave equation on domains with cracks growing on a prescribed path.

Ilaria Lucardesi (Institut Elie Cartan de Lorraine)

created by pluda on 26 Nov 2015

3 dec 2015 -- 15:00   [open in google calendar]

sala seminari, dipartimento di matematica di Pisa

Abstract.

In this talk I analyze a scalar wave equation in a time varying domain of the form "set minus a growing crack", when the crack develops along a given path. Under suitable regularity assumptions, I show existence, uniqueness and continuous dependence on the cracks of the weak solution of the wave equation under study. This is a joint work with Gianni Dal Maso.

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