Identification of the interface between acoustic and elastic waves from internal measurements

Consider the fluid-solid interaction problem for a two-layered non-penetrable cavity. We provide a novel fundamental proof for a uniqueness theorem on the determination of the interface between acoustic and elastic waves from many internal measurements, disregarding the boundary conditions imposed on the exterior non-penetrable boundary. The proof depends on a uniform {H^{1}}-norm boundedness for the elastic wave fields and the construction of the coupled interior transmission problem related to the acoustic and elastic wave fields.

Partition of nanoswimmers between two immiscible phases: a soft and penetrable boundary

The behavior of run-and-tumble nanoswimmers which can self-propel in two immiscible liquids such as water–oil systems and are able to cross the interface is investigated by dissipative particle dynamics.