Existence of time-periodic weak solutions is proved for a 3D/2D/3D incompressible fluid interacting with a thin elastic shell and a thick viscoelastic solid under small Bernoulli pressure boundary data.
On the existence of strong solutio ns to a coupled fluid-structure evolution problem
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Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems
Existence of time-periodic weak solutions is proved for a 3D/2D/3D incompressible fluid interacting with a thin elastic shell and a thick viscoelastic solid under small Bernoulli pressure boundary data.