= Gamma-convergence
{c}
{title2=$F_n\xrightarrow{\Gamma}F$}
A sequence of functionals Gamma-converges in a specified <topology> when every convergent $u_n\to u$ satisfies $F(u)\le\liminf_nF_n(u_n)$, and each $u$ has a recovery sequence $u_n\to u$ with $F_n(u_n)\to F(u)$. With appropriate compactness of energy sublevels, limits of approximate global <minimizers> minimize $F$, and the minimum values converge. This is suited to variational approximation such as the <Ambrosio–Tortorelli approximation>; it does not describe arbitrary local minima.
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