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math.AP2023
Qualitative properties of solutions to a nonlinear transmission problem for an elastic Bresse beam
Tamara Fastovska, Dirk Langemann, Iryna Ryzhkova
We consider a nonlinear transmission problem for a Bresse beam, which consists of two parts, damped and undamped. The mechanical damping in the damped part is present in the shear…
math.AP2023
On an attractor for strong solutions to interactive fluid-plate system without rotational inertia
Iryna Ryzhkova
We study long-time dynamics of strong solutions to a non-homogeneous coupled system consisting of linearized 3D Navier--Stokes equations in a bounded domain and the classical (nonl…
math.AP2012
On interaction of an elastic wall with a Poiseuille type flow
Igor Chueshov, Iryna Ryzhkova
We study dynamics of a coupled system consisting of the 3D Navier--Stokes equations which is linearized near a certain Poiseuille type flow in an (unbounded) domain and a classical…