This paper is concerned with the long-time dynamics of a fluid-structure interaction problem
describing a Poiseuille inflow through a 2D channel containing a rectangular obstacle …

We show the existence of a weak solution for a system of partial differential equations
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …

Interface problems have long been a major focus of scientific computing, leading to the
development of various numerical methods. Traditional mesh-based methods often employ …

We consider the interaction of a viscous incompressible fluid with a flexible shell in three
space dimensions. The fluid is described by the three-dimensional incompressible Navier …

The global well-posedness of a new class of initial-boundary value problem on
incompressible MHD equations in the bounded domain with the smooth boundary is …

In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a
heat-conducting fluid. The shell is governed by linear thermoelasticity equations and …

In this paper, we study a nonlinear fluid-structure interaction problem between a'square-
root'viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid …

We study the nondiffusive Westervelt equation in the weakly nonlinear regime and show that
the leading profile equation is of Burgers' type. We show that a compactly supported …

In the work, a boundary value problem with non-local condition for the second kind
degenerated parabolic-hyperbolic equation, was investigated. The solution of the …

We discuss the notion of resonance, as well as the existence and uniqueness of periodic
solutions for a forced simple harmonic oscillator. While this topic is elementary, and well …