The paper presents a mathematical model for an industry inspired problem of vibration isolation applied to a cluster of elastic fluid-filled containers. We develop a systematic approach employing full fluid-solid interaction and Floquet-Bloch waves in periodic multi-scale systems. The analytical findings are accompanied by numerical simulations, including frequency response analyses and computa...

Abstract Target signatures are discrete quantities computed from measured scattering data that could potentially be used to classify scatterers or give information about possible defects in the scatterer compared an ideal object. Here, we study a class of modified interior transmission eigenvalues intended provide target for inverse fluid–solid interaction problem. The modification is based on ...

Motivation Cerebral disorders affect millions of people around the world. Despite progress in science and medicine, accurate diagnosis and treatment of brain related diseases is hampered due to the lack of proper understanding of the pathophysiology of such disorders. The fluid-soft tissue interaction problem is fundamental in addressing open challenges crucial for the understanding of intracra...