2019, Kaltenbacher, Barbara, Kukavica, Igor, Lasiecka, Irena, Triggiani, Roberto, Tuffaha, Amjad, Webster, Justin

Fluid-structure interaction is a rich and active field of mathematics that studies the interaction between fluids and solid objects. In this short article, we give a glimpse into this exciting field, as well as a sample of the most significant questions that mathematicians try to answer.

2019, Kaltenbacher, Barbara, Brunnhuber, Rainer

Nonlinear acoustics has been a topic of research for more than 250 years. Driven by a wide range and a large number of highly relevant industrial and medical applications, this area has expanded enormously in the last few decades. Here, we would like to give a glimpse of the mathematical modeling techniques that are commonly employed to tackle problems in this area of research, with a selection of references for the interested reader to further their knowledge into this mathematically interesting field.