A Γ‐convergence result for the two‐gradient theory of phase transitions
Sergio Conti, Irene Fonseca, Giovanni Leoni · Communications on Pure and Applied Mathematics · 2002
Abstract The generalization to gradient vector fields of the classical double‐well, singularly perturbed functionals, whereW(ξ) = 0 if and only if ξ =Aor ξ =B, andA−Bis a rank‐1 matrix, is considered. Under suitable constitutive and growth hypotheses onW, it is shown thatIεΓ‐converge to whereK*is the (constant) interfacial energy per unit area. © 2002 Wiley Periodicals, Inc.