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 $\{(u_{\epsilon },v_{\epsilon }){\}}_{\epsilon >0}$ of critical points of the Ambrosio-Tortorelli functional. Assuming a uniform energy bound, the sequence $\…