Asymmetric equilibrium configurations of a body immersed in a 2D laminar flow

We will study the equilibrium configurations of a fluid-structure interaction problem where a body is immersed in a fluid confined in a bounded planar channel and governed by the stationary Navier-Stokes equations with laminar inflow and outflow. The body is subject to both the lift force from the fluid and to some external elastic force. Motivated by an application to suspension bridges, asymmetry is taken into account. This requires the introduction of suitable assumptions to prevent collisions of the body with the boundary. We will present an existence and uniqueness result for sufficiently small inflow/outflow. This talk is based on a recent joint work with F. Gazzola.