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.AP2022
Gevrey-class-3 regularity of the linearised hyperbolic Prandtl system on a strip
Francesco De Anna, Joshua Kortum, Stefano Scrobogna
In the present paper, we address a physically-meaningful extension of the linearised Prandtl equations around a shear flow. Without any structural assumption, it is well-known that…