Calculus of Variations and Geometric Measure Theory
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M. Bonafini - V. P. C. Le

Weak solutions for nonlinear waves in adhesive phenomena

created by le on 21 Apr 2021
modified on 05 Oct 2021


Submitted Paper

Inserted: 21 apr 2021
Last Updated: 5 oct 2021

Year: 2021


We discuss a notion of weak solution to a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on results in 2. Our analysis embraces the vector-valued case in arbitrary dimension as well as the case of non-local operators (e.g. fractional Laplacian).

Keywords: nonlinear elasticity, wave equations, non-local wave equations, adhesive phenomena


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