5 papers
Weyl formulae for some singular metrics with application to acoustic modes in gas giants
Yves Colin de Verdìère, Charlotte Dietze, Maarten V. de Hoop +1
This paper is motivated by recent works on inverse problems for acoustic wave propagation in the interior of gas giant planets. In such planets, the speed of sound is isotropic and…
Characterization of the spectra of rotating truncated gas planets and inertia-gravity modes
Maarten V. de Hoop, Sean Holman, Alexei Iantchenko
We study the essential spectrum, which corresponds to inertia-gravity modes, of the system of equations governing a rotating and self-gravitating gas planet. With certain boundary…
An inverse Signorini obstacle problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +2
We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determin…
High-Rate Phase Association with Travel Time Neural Fields
Cheng Shi, Giulio Poggiali, Chris Marone +2
Earthquake science and seismology rely on the ability to associate seismic waves with their originating earthquakes. Earthquake detection algorithms based on deep learning have pro…
Recovery of piecewise smooth parameters in an acoustic-gravitational system of equations from exterior Cauchy data
Sombuddha Bhattacharyya, Maarten de Hoop, Vitaly Katsnelson
In this paper, we study an inverse problem for an acoustic-gravitational system whose principal symbol is identical to that of an acoustic wave operator. The displacement vector of…