3 papers
math.AP2022
Asymptotic analysis for a second order curved thin film
Hamdi Zorgati
We consider a second order thin curved film whose behavior is governed by an energy made up of a first order nonlinear part depending on the gradient of the deformation augmented b…
math.AP2018
Dimension reduction and optimality of the uniform state in a Phase-Field-Crystal model involving a higher order functional
Radu Ignat, Hamdi Zorgati
We study a Phase-Field-Crystal model described by a free energy functional involving second order derivatives of the order parameter in a periodic setting and under a fixed mass co…
math.AP2016
Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations
Hakima Bessaih, Saber Trabelsi, Hamdi Zorgati
We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one.…