activity
20072022
most citedDimension reduction and optimality of the uniform state in a Phase-Field-Crystal model involving a higher order functional

2 citations · 3 across the 4 of their papers we have counts for

collaborators

5 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★ 2 cited

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.…

math.CA2013

Homogenization of unbounded integrals with quasiconvex growth

Omar Anza Hafsa, Jean-Philippe Mandallena, Hamdi Zorgati

We study homogenization by -convergence of periodic nonconvex integrals when the integrand has quasiconvex growth with convex effective domain.

math.AP2007★ 1 cited

Dimensional reduction for energies with linear growth involving the bending moment

Jean-Francois Babadjian, Elvira Zappale, Hamdi Zorgati

A -convergence analysis is used to perform a 3D-2D dimension reduction of variational problems with linear growth. The adopted scaling gives rise to a nonlinear membrane model w…