Special Session 96: Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams
Vaclav Macha
Institute of Mathematics, Czech Academy of Sciences Czech Rep
Co-Author(s):
Abstract:
We study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills a two-dimensional rectangular domain with periodic boundary conditions. Under the effect of periodic forces acting on the beam and the fluid, at least one time-periodic weak solution is constructed which has a bounded energy and a fixed prescribed mass.