Existence of time-periodic weak solutions is proved for the coupled Navier-Stokes and nonlinear Koiter plate system in a space-periodic moving domain using a single Leray-Schauder fixed-point argument on the Galerkin system.
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams.Nonlinearity, 38(1):015005, nov 2024
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Time-periodic solutions for viscous fluids interacting with nonlinear Koiter plates
Existence of time-periodic weak solutions is proved for the coupled Navier-Stokes and nonlinear Koiter plate system in a space-periodic moving domain using a single Leray-Schauder fixed-point argument on the Galerkin system.