2 papers
math.AP2025
What does it mean for a 3D star-shaped scatterer to be small in the time domain?
Maryna Kachanovska, Adrian Savchuk
In the frequency domain wave scattering problems, obstacles can be effectively replaced by point scatterers as soon as the wavelength of the incident wave exceeds significantly the…
math.NA2025
Asymptotic models for time-domain scattering by small particles of arbitrary shapes
Maryna Kachanovska, Adrian Savchuk
In this work, we investigate time-dependent wave scattering by multiple small particles of arbitrary shape. To approximate the solution of the associated boundary-value problem, we…