4 papers
A Lavrentiev phenomenon in the neo-Hookean model
Marco Barchiesi, Duvan Henao, Carlos Mora-Corral +1
We exhibit a Lavrentiev gap phenomenon for the neo-Hookean energy in three-dimensional nonlinear elasticity. More precisely, we construct boundary data for which the infimum of the…
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 $\…
Ginzburg-Landau minimizers with high topological degrees in an annulus
Amandine Aftalion, Rémy Rodiac
Motivated by recent experiments on fermionic rings, we study the asymptotic behaviour of minimizers of the Ginzburg-Landau (GL) energy in an annulus with a Dirichlet data which dep…
A weak energy identity for -harmonic maps with a free boundary in a sphere
Dorian Martino, Katarzyna Mazowiecka, Rémy Rodiac
In this article, we show that sequences of -harmonic maps with a free boundary in , where is a parameter tending to zero, converge to a bubble tree. For…