Minnaert Frequency and Simultaneous Reconstruction of the Density, Bulk and Source in the Time-Domain Wave Equation

S Senapati, M Sini - arXiv preprint arXiv:2311.08114, 2023 - arxiv.org
We deal with the inverse problem of reconstructing acoustic material properties or/and
external sources for the time-domain acoustic wave model. The traditional measurements …

Elastic fields generated by multiple small inclusions with high mass density at nearly resonant frequencies

DP Challa, D Gangadaraiah, M Sini - Journal of Mathematical Analysis and …, 2024 - Elsevier
We derive the elastic field generated by multiple small-scaled inclusions distributed in a
bounded set of R 3. These inclusions are modelled with moderate values of the Lamé …

Analysis of subwavelength resonances in high contrast elastic media by a variational method

B Chen, Y Gao, P Li, Y Ren - arXiv preprint arXiv:2501.07315, 2025 - arxiv.org
In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle
embedded in a soft elastic body in three dimensions. Our contributions are threefold. First …