2 citations · 2 across the 7 of their papers we have counts for
9 papers
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…
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…
Temperature dependent extensions of the Cahn-Hilliard equation
Francesco De Anna, Chun Liu, Anja Schlömerkemper +1
The Cahn-Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In this paper we focus on the dynamics of these binary media, when t…
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…
Global Solvability of the Inhomogeneous Ericksen-Leslie System with only Bounded Density
Francesco De Anna
Ericksen and Leslie established a theory to model the flow of nematic liquid crystals. This paper is devoted to the Cauchy Problem of a simplified version of their system, which re…