193 citations · 659 across the 32 of their papers we have counts for
33 papers
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…
The hydrostatic limit of the Beris-Edwards system in dimension two
Xingyu Li, Marius Paicu, Arghir Zarnescu
We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in dimension two. We prove the global well-posedness…
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…
Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation
Roberta Bianchini, Timothée Crin-Barat, Marius Paicu
We prove the nonlinear asymptotic stability of stably stratified solutions to the Incompressible Porous Media equation (IPM) for initial perturbations in $\dot H^{1-τ}(\mathbb{R}^2…
Global hydrostatic approximation of hyperbolic Navier-Stokes system with small Gevrey class data
Marius Paicu, Ping Zhang
We investigate the hydrostatic approximation of a hyperbolic version of Navier-Stokes equations, which is obtained by using Cattaneo type law instead of Fourier law, evolving in a…
Global regularity for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
Marius Paicu, Ning Zhu
This paper establishes the global regularity of classical solution to the 2D MHD system with only horizontal dissipation and horizontal magnetic diffusion in a strip domain $\mathb…