10 papers
Rational Decay of A Multilayered Structure-Fluid PDE System
George Avalos, Pelin G. Geredeli, Boris Muha
In this work, we consider a certain multilayered (thick layer) wave--(thin layer) wave--heat (fluid) interactive PDE system. Such coupled PDE systems have been used in the literatu…
Vectorial variational problems in constrained by the Navier-Stokes equations
Ed Clark, Nikos Katzourakis, Boris Muha
We study a minimisation problem in and for certain cost functionals, where the class of admissible mappings is constrained by the Navier-Stokes equations. Problems…
Multilayered Poroelasticity Interacting with Stokes Flow
Lorena Bociu, Sunčica Čanić, Boris Muha +1
We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin, linea…
A model in one-dimensional thermoelasticity
Tomasz Cieslak, Marija Galić, Boris Muha
We study a one-dimensional nonlinear hyperbolic-parabolic initial boundary value problem occurring in the theory of thermoelasticity. We prove existence and uniqueness of the local…
A review on rigorous derivation of reduced models for fluid-structure interaction systems
Mario Bukal, Boris Muha
In this paper we review and systematize the mathematical theory on justification of sixth-order thin-film equations as reduced models for various fluid-structure interaction system…
Analysis of a 3D Nonlinear, Moving Boundary Problem describing Fluid-Mesh-Shell Interaction
Sunčica Čanić, Marija Galić, Boris Muha
We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cy…