3 papers
math.AP2024
Colloidal Homogenisation for the Hydrodynamics of Nematic Liquid Crystals
Francesco De Anna, Anja Schloemerkemper, Arghir Zarnescu
This paper analytically explores a simplified model for the hydrodynamics of nematic liquid crystal colloids. We integrate a Stokes equation for the velocity field with a Ginzburg-…
math.AP2023
Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations
Francesco De Anna, Joshua Kortum, Stefano Scrobogna
We address a physically-meaningful extension of the Prandtl system, also known as hyperbolic Prandtl equations. We show that the linearised model around a non-monotonic shear flow…
math.AP2021
Struwe-like solutions for an evolutionary model of magnetoviscoelastic fluids
Francesco De Anna, Joshua Kortum, Anja Schlömerkemper
In this work we investigate the existence and uniqueness of Struwe-like solutions for a system of partial differential equations modeling the dynamics of magnetoviscoelastic fluids…