The paper deals with three evolution problems arising in the phys- ical modelling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. The first one is the widely studied wave equation with acoustic boundary conditions, but its derivation from the physical model is mathematically not fully satisfactory. The other two models studied in the paper, in the Lagrangian and Eulerian settings, are physically transparent. In the paper the first model is derived from the other two in a rigorous way, also for solutions merely belonging to the natural energy spaces.

Three evolution problems modelling the interaction between acoustic waves and non–locally reacting surfaces

Enzo Vitillaro
In corso di stampa

Abstract

The paper deals with three evolution problems arising in the phys- ical modelling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. The first one is the widely studied wave equation with acoustic boundary conditions, but its derivation from the physical model is mathematically not fully satisfactory. The other two models studied in the paper, in the Lagrangian and Eulerian settings, are physically transparent. In the paper the first model is derived from the other two in a rigorous way, also for solutions merely belonging to the natural energy spaces.
In corso di stampa
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1571916
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