AbstractWe discuss a notion of weak solution for 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).

Weak solutions for nonlinear waves in adhesive phenomena

Mauro Bonafini;Van Phu Cuong Le
2022-01-01

Abstract

AbstractWe discuss a notion of weak solution for 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).
2022
Hyperbolic obstacle problem, Non-local wave equation, Minimizing movements
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1095934
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