I. Mikus

Analyticity of the data-to-solution map for a stationary Navier-Stokes fluid-structure interaction problem

We consider a stationary fluid--structure interaction problem in which the steady Navier--Stokes equations are coupled, through a free elastic interface, with a clamped Euler-Bernoulli beam equation. Using a complexification of the fixed-domain formulation and the holomorphic implicit function theorem, we prove that, i...