6 papers · 1 filter
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 ope…
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…
On the role of the displacement current and the Cattaneo's law on boundary layers of plasma
Nacer Aarach, Francesco De Anna, Marius Paicu +1
In the present paper, we aim to mathematically analyse the role of the displacement current and the Cattaneo's law on the boundary-layer theory of plasma, when the corresponding ch…
The Fujita-Kato Theorem for some Oldroyd-B model
Francesco De Anna, Marius Paicu
In this paper, we investigate the Cauchy problem associated to a system of PDE's of Oldroyd type. The considered model describes the evolution of certain viscoelastic fluids within…
A global well-posedness result for the Rosensweig system of ferrofluids
Francesco De Anna, Stefano Scrobogna
In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and un…
Global well-posedness and long-time dynamics for a higher order Quasi-Geostrophic type equation
Francesco De Anna, Francesco Fanelli
In this paper we study a higher order viscous quasi-geostrophic type equation. This equation was derived in [11] as the limit dynamics of a singularly perturbed Navier-Stokes-Korte…