| Abstract: |
| We deal with three families of evolutions problems modeling the interaction between acoustic waves and non-locally reacting surfaces. One family is
constituted by problems derived in a Lagrangian framework, another family by
problems derived in the Eulerian framework. In the talk, we show that they
are equivalent with one between the two variants of the acoustic wave equation
with acoustic boundary condition, which constitute the third family of problems. The results are connected with those in the talk given by the author in SS15, and are contained in two papers by the author, the first one in J. Evol. Eqs. (2024), the second one still in preparation.
This work has been funded by the European Union - NextGenerationEU within the framework of PNRR Mission 4 - Component 2 - Investment 1.1 under the Italian Ministry of University and Research (MUR) program PRIN2022 - 2022BCFHN2 - Advanced theoretical aspects in PDEs and their applications - CUP: J53D23003700006 |
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