19 citations · 36 across the 14 of their papers we have counts for
18 papers
Critical points of the two-dimensional Ambrosio-Tortorelli functional with convergence of the phase-field energy
Jean-François Babadjian, Martin Rakovsky, Rémy Rodiac
We consider a family of critical points of the Ambrosio-Tortorelli functional. Assuming a uniform energy bound, the sequence $\…
Curvature penalization of strongly anisotropic interfaces models and their phase-field approximation
Jean-François Babadjian, Blanche Buet, Michael Goldman
This paper studies the effect of anisotropy on sharp or diffuse interfaces models. When the surface tension is a convex function of the normal to the interface, the anisotropy is s…
Uniqueness, regularity and characteristic flow for a non strictly convex singular variational problem
Jean-Francois Babadjian, Gilles Francfort
This work addresses the question of uniqueness and regularity of the minimizers of a convex but not strictly convex integral functional with linear growth in a two-dimensional sett…
Piecewise rank-one approximation of vector fields with measure derivatives
Jean-Francois Babadjian, Flaviana Iurlano
This work adresses the question of density of piecewise constant (resp. rigid) functions in the space of vector valued functions with bounded variation (resp. deformation) with res…
On the Convergence of critical points of the Ambrosio-Tortorelli functional
Jean-François Babadjian, Vincent Millot, Rémy Rodiac
This work is devoted to study the asymptotic behavior of critical points of the Ambrosio-Tortorelli functional. Under a uniform…
Mixed boundary conditions as limits of dissipative boundary conditions in dynamic perfect plasticity
Jean-François Babadjian, Randy Llerena
This paper addresses the well posedness of a dynamical model of perfect plasticity with mixed boundary conditions for general closed and convex elasticity sets. The proof relies on…