Explore a variational approach to hyperbolic evolutions and fluid-structure interactions in this 36-minute lecture by Sebastian Schwarzacher. Delivered as part of the Workshop on "Between Regularity and Defects: Variational and Geometrical Methods in Materials Science" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), the talk introduces a method developed in collaboration with B. Benesova and M. Kampschulte. Delve into new well-posedness results for solid evolutions driven by inertia and fluid-solid interactions. Gain insights into the application of variational and geometrical methods in materials science, focusing on the intersection of regularity and defects in mathematical physics.