Research

Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems

Dominic Breit & Prince Romeo Mensah & Sebastian Schwarzacher, Pei Su : Annali SNS [42 pages] (2025). 

https://arxiv.org/abs/2307.12273.

Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation.

Dan Crisan & Prince Romeo Mensah : Nonlinear Differential Equations and Applications NoDEA [35 pages] (2025).

https://link.springer.com/article/10.1007/s00030-025-01120-z 

https://arxiv.org/abs/2209.14862.

Existence of a local strong solution to the beam-polymeric fluid interaction system.

Dominic Breit & Prince Romeo Mensah : Mathematische Nachrichten [45 pages] (2025).

https://onlinelibrary.wiley.com/doi/10.1002/mana.12030 

https://arxiv.org/abs/2308.04809.

Weak and strong solutions for polymeric fluid-structure interaction of Oldroyd-B type.

Prince Romeo Mensah : Interfaces and Free Boundaries [47 pages] (2025).

https://ems.press/journals/ifb/articles/14298881 

https://arxiv.org/abs/2311.09034.

Vanishing center-of-mass limit of the 2D-1D corotational Oldroyd-B polymeric fluid-structure interaction problem

Prince Romeo Mensah : Nonlinearity [33 pages] (2025).

https://iopscience.iop.org/article/10.1088/1361-6544/adb9b0/meta;;

https://arxiv.org/abs/2401.14337.

Complex analytic solutions for the TQG model.

Prince Romeo Mensah : Analysis [10 pages] (2024).

https://doi.org/10.1515/anly-2024-0062;

https://arxiv.org/abs/2405.00575.

Martingale solutions in stochastic fluid-structure interaction.

Dominic Breit & Prince Romeo Mensah & Thamsanqa Castern Moyo : Journal of Nonlinear Science [45 pages] (2024).

https://doi.org/10.1007/s00332-023-10012-4;

https://arxiv.org/abs/2310.08519.

Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model.

Dan Crisan & Darryl D. Holm & Oana Lang & Prince Romeo Mensah & Wei Pan : Stochastics and Dynamics [38 pages] (2023).

https://doi.org/10.1142/S0219493723500399;

https://arxiv.org/abs/2207.07457.

Theoretical and computational analysis of the thermal quasi-geostrophic model.

Dan Crisan & Darryl D. Holm & Erwin Luesink & Prince Romeo Mensah & Wei Pan : Journal of Nonlinear Science [59 pages] (2023).

https://link.springer.com/article/10.1007/

Local well-posedness of the compressible FENE dumbbell model of Warner type.

Dominic Breit & Prince Romeo Mensah : Nonlinearity [35 pages] 

https://iopscience.iop.org/article/10.1088/1361-6544/abbd82;

https://arxiv.org/abs/1911.02465.

An incompressible polymer fluid interacting with a Koiter shell. 

Dominic Breit & Prince Romeo Mensah : Journal of Nonlinear Science [56 pages] 

https://link.springer.com/article/

The combined incompressible quasineutral limit of the stochastic Navier-Stokes-Poisson system.

Donatella Donatelli & Prince Romeo Mensah : SIAM Journal on Mathematical Analysis [31 pages] (2020).

https://epubs.siam.org/doi/10.1137/20M1338915;

https://arxiv.org/abs/2005.08825.

Dissipative martingale solutions of the stochastically forced Navier-Stokes-Poisson system on domains without boundaries.

Donatella Donatelli & Pierangelo Marcati & Prince Romeo Mensah : Nonlinear Analysis: Real World Applications 57, 103201 [52 pages] (2020).

https://doi.org/10.1016/j.nonrwa.2020.103201;

https://arxiv.org/abs/2005.00291.

A multi-scale limit of a randomly forced rotating 3-D compressible fluid.

Prince Romeo Mensah : Journal of Mathematical Fluid Mechanics [33 pages] (2020).

https://doi.org/10.1007/s00021-020-00496-5;

https://arxiv.org/abs/1801.09649.

Space-time approximation of parabolic systems with variable growth.

Dominic Breit & Prince Romeo Mensah : IMA Journal of Numerical Analysis [48 pages] (2020).

https://doi.org/10.1093/imanum/drz039;

https://arxiv.org/abs/1804.06097.

Stochastic compressible Euler equations and inviscid limits.

Dominic Breit & Prince Romeo Mensah : Nonlinear Analysis 184, 218-238 [21 pages] (2019).

http://doi.org/10.1016/j.na.2019.02.013;

https://arxiv.org/abs/1802.07186.

Existence of martingale solutions and the incompressible limit for stochastic compressible flows on the whole space.

Prince Romeo Mensah : Annali di Matematica Pura ed Applicata (1923 -) 196, 2105-2133 [29 pages] (2017).

http://dx.doi.org/10.1007/s10231-017-0656-1;

https://arxiv.org/abs/1612.03344

Blow-up of strong solutions of the Thermal Quasi-Geostrophic equation.

Dan Crisan & Prince Romeo Mensah : Stochastic Transport in Upper Ocean Dynamics [14 pages] (2022).

https://doi.org/10.1007/978-3-031-18988-3_1;

https://arxiv.org/abs/2201.06476.

Equilibration and convected limit in 2D-1D corotational Oldroyd’s fluid-structure interaction

Prince Romeo Mensah : Submitted [18 pages] (2025).

https://arxiv.org/abs/2505.15452.

Conditionally strong solution for macroscopic polymeric SSS interaction

Prince Romeo Mensah : Submitted [20 pages] (2024).

http://arxiv.org/abs/2403.02257.

Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems.

Dominic Breit & Prince Romeo Mensah & Sebastian Schwarzacher & Pei Su : Submitted [42 pages] (2023).

https://arxiv.org/abs/2307.12273.