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math.AP2026
Range Failure, Resolvent Growth, and Resonance in Partially Dissipative Systems
Boris Muha, Sebastian Schwarzacher, Justin T. Webster
We introduce several notions of resonance for systems exhibiting weak or partial dissipation: , with the generator of a strongly stable semigroup on a Hi…
math.AP2026
Well-posedness theorems in fluid-structure interaction: perfectly elastic shells
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell…