5 citations · 12 across the 20 of their papers we have counts for
25 papers
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…
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…
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…
Complex analytic solutions for the TQG model
Prince Romeo Mensah
We present a condition under which the thermal quasi-geostrophic (TQG) model possesses a solution that is holomorphic in time with values in the Gevrey space of complex analytic fu…
Conditionally strong solution for macroscopic polymeric SSS interaction
Prince Romeo Mensah
The system under study is a solute-solvent-structure (SSS) interaction problem for the interaction of a dilute three-dimensional Oldroyd-B polymeric fluid with a two-dimensional vi…
Vanishing center-of-mass limit of the 2D-1D corotational Oldroyd-B polymeric fluid-structure interaction problem
Prince Romeo Mensah
We consider the Oldroyd-B model for a two-dimensional dilute corotational polymer fluid with center-of-mass diffusion that is interacting with a one-dimensional viscoelastic shell.…
Weak and strong solutions for polymeric fluid-structure interaction of Oldroyd-B type
Prince Romeo Mensah
We prove the existence of weak solutions and a unique strong solution to the Oldroyd-B dumbbell model describing the evolution of a two-dimensional dilute polymer fluid interacting…
Martingale solutions in stochastic fluid-structure interaction
Dominic Breit, Prince Romeo Mensah, Thamsanqa Castern Moyo
We consider a viscous incompressible fluid interacting with a linearly elastic shell of Koiter type which is located at some part of the boundary. Recently models with stochastic p…
Existence of a local strong solution to the beam-polymeric fluid interaction system
Dominic Breit, Prince Romeo Mensah
We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner-type for an incompressible polymer fluid (described by the…
Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
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…
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation
Dan Crisan, Prince Romeo Mensah
We construct a local in time spatially real-analytic solution to the 2D and 3D stochastic Navier--Stokes equation driven by a spatially real-analytic multiplicative and transport n…
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model
Dan Crisan, Darryl D. Holm, Oana Lang +2
This paper investigates the mathematical properties of a stochastic version of the balanced 2D thermal quasigeostrophic (TQG) model of potential vorticity dynamics. This stochastic…
Blow-up of strong solutions of the Thermal Quasi-Geostrophic equation
Dan Crisan, Prince Romeo Mensah
The Thermal Quasi-Geostrophic (TQG) equation is a coupled system of equations that governs the evolution of the buoyancy and the potential vorticity of a fluid. It has a local in t…
Theoretical and computational analysis of the thermal quasi-geostrophic model
Dan Crisan, Darryl D. Holm, Erwin Luesink +2
This work involves theoretical and numerical analysis of the Thermal Quasi-Geostrophic (TQG) model of submesoscale geophysical fluid dynamics (GFD). Physically, the TQG model invol…
An incompressible polymer fluid interacting with a Koiter shell
Dominic Breit, Prince Romeo Mensah
We study a mutually coupled mesoscopic-macroscopic-shell system of equations modeling a dilute incompressible polymer fluid which is evolving and interacting with a flexible shell…
The combined incompressible quasineutral limit of the stochastic Navier-Stokes-Poisson system
Donatella Donatelli, Prince Romeo Mensah
This paper deals with the combined incompressible quasineutral limit of the weak martingale solution of the compressible Navier-Stokes-Poisson system perturbed by a stochastic forc…
Dissipative martingale solutions of the stochastically forced Navier--Stokes--Poisson system on domains without boundary
Donatella Donatelli, Pierangelo Marcati, Prince Romeo Mensah
We construct solutions to the randomly-forced Navier--Stokes--Poisson system in periodic three-dimensional domains or in the whole three-dimensional Euclidean space. These solution…
Local well-posedness of the compressible FENE dumbbell model of Warner type
Dominic Breit, Prince Romeo Mensah
We consider a dilute suspension of dumbbells joined by a finitely extendible nonlinear elastic (FENE) connector evolving under the classical Warner potential $U(s)=-\frac{b}{2} \lo…
Space-time approximation of parabolic systems with variable growth
Dominic Breit, Prince Romeo Mensah
We study a parabolic system with -structure under Dirichlet boundary conditions. In particular, we deduce the optimal convergence rate for the error of the gradient of a fi…
Stochastic compressible Euler equations and inviscid limits
Dominic Breit, Prince Romeo Mensah
We prove the existence of a unique local strong solution to the stochastic compressible Euler system with nonlinear multiplicative noise. This solution exists up to a positive stop…
A multi-scale limit of a randomly forced rotating -D compressible fluid
Prince Romeo Mensah
We study a singular limit of a scaled compressible Navier--Stokes--Coriolis system driven by both a deterministic and stochastic forcing terms in three dimensions. If the Mach numb…