10 papers
Strong solution for polymeric fluid-structure interaction with small initial acceleration
Prince Romeo Mensah
We consider the problem of a 3D-3D-2D mutually coupled solute-solvent-structure three-states system. This describes the interaction of a flexible structure with a polymeric fluid o…
Well-posedness theorems in fluid-structure interaction: perfectly elastic shells
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell…
Blow-Up Criteria and Weak--Strong Uniqueness for Compressible Fluid--Viscoelastic Shell Interactions
Pierre Marie Ngougoue Ngougoue, Prince Romeo Mensah
Existence and uniqueness of strong solutions to a barotropic compressible fluid--viscoelastic shell interaction system have recently been established on a finite time interval. A n…
Stochastically-constrained Koiter shell models
Prince Romeo Mensah, Pierre Marie Ngougoue Ngougoue
We derive stochastically-constrained Koiter shell models in line with the SALT (Stochastic Advection by Lie Transport) approach introduced by Holm [Proc. A. 471 (2015)]. First, we…
The simplified 2D Ericksen-Leslie liquid crystal model interacting with a 1D flexible shell
Prince Romeo Mensah
We consider the evolution and interaction of a 2-dimensional nematic liquid crystal of Ericksen-Leslie type within a 1-dimensional flexible viscoelastic structure. This is a fully…
Equilibration and convected limit in 2D-1D corotational Oldroyd's fluid-structure interaction
Prince Romeo Mensah
We consider a solute-solvent-structure mutually coupled system of equations given by an Oldroyd-type model for a two-dimensional dilute corotational polymer fluid with solute diffu…