3 papers
math.AP2026
Hadamard ill-Posedness of the linearised Prandtl Equations in Gevrey spaces
Francesco De Anna, Joshua Kortum
We prove Hadamard ill-posedness for the non-autonomous linearised Prandtl equations around time-dependent shear-flow equilibria in function spaces up to Gevrey class 4. More precis…
math.AP2025
Linear Instability of the Prandtl Equations via Hypergeometric Functions and the Harmonic Oscillator
Francesco De Anna, Joshua Kortum
We establish a deep connection between the Prandtl equations linearised around a quadratic shear flow, confluent hypergeometric functions of the first kind, and the Schrödinger op…
math.AP2024
On hydrostatic limit of Beris-Edwards system in a thin strip
Francesco De Anna, Xingyu Li, Marius Paicu +1
In this paper we consider the 3D co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in a thin strip. The system contains the incompressi…