The inverse problem of reconstructing a source term from boundary measurements, for the
wave equation, is revisited. We propose a novel approach to recover the unknown source …

We derive the effective medium theory for the linearized time-domain acoustic waves
propagating in a bubbly media. The analysis is done in the time-domain avoiding the need …

We study the time-domain acoustic wave propagation in the presence of a microbubble. This
microbubble is characterized by a mass density and bulk modulus which are both very small …

Exciting nanoparticles with incident frequencies close to their (subwavelength) resonances
generate heat in the surrounding medium. Estimating the amount of heat generated is …

We analyse the ultrasound waves reflected by multiple bubbles in the linearized time-
dependent acoustic model. The generated time-dependent wave field is estimated close to …

In this work we study time-domain sound-soft scattering by small circles. Our goal is to derive
an asymptotic model for this problem that is valid when the size of the particles tends to zero …

This paper concerns an inverse elastic scattering problem which is to determine a rigid
obstacle from time domain scattered field data for a single incident plane wave. By using the …

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated
medium. Precisely, we assume that the permeability is unchanged while the permittivity has …

This dissertation revolves around the mathematical models that describe the process of heat
generation through the injection of electromagnetic nanoparticles (both plasmonic and …

Mathematical Analysis of Therapy Modalities using Heat Generation or Acoustic Cavitation Page
1 DOCTORAL THESIS Mathematical Analysis of Therapy Modalities using Heat Generation or …