On October 7, Teresa Rauscher successfully defended her dissertation on “Imaging with Nonlinear Ultrasound Waves: Modeling, Analysis and Numerics,” becoming the 10th graduate of the doc.funds doctoral school “Modeling-Analysis-Optimization of discrete, continuous and stochastic systems.” The thesis was reviewed by Prof. Mechthild Thalhammer, University of Innsbruck, and Prof. Lehel Banjai, Heriot-Watt University, Edinburgh, who also served as examiners. The dissertation was supervised by Barbara Kaltenbacher, in collaboration with Prof. Vanja Nikolić, Radboud University, Nijmegen.
Nonlinear partial differential equations play a central role in Teresa’s doctoral thesis for the improved description of ultrasound in medical imaging and therapy, as well as their coupling with each other and with other physical quantities. One of the scenarios considered is vibroacoustography, another is the modeling of microbubbles as contrast agents. In addition to the mathematical-physical derivation of the models and their analysis, the thesis also covers the development of efficient methods for their numerical simulation.
After completing her bachelor’s degree in technical mathematics and her master’s degree in mathematics at the AAU, Teresa Rauscher began her doctoral studies in July 2021. Her further academic career will take her to the University of Graz, where she will hold a coordination and research position for the SFB MR-Dynamo starting in November.
Der Beitrag Defensio by Teresa Rauscher erschien zuerst auf University of Klagenfurt.