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- W2620559623 abstract "We describe the asymptotic behavior of critical points of $int_{Omega} [(1/2)|nabla u|^2+W(u)/varepsilon^2]$ when $varepsilonto 0$. Here, $W$ is a Ginzburg-Landau type potential, vanishing on a simple closed curve $Gamma$. Unlike the case of the standard Ginzburg-Landau potential $W(u)=(1-|u|^2)^2/4$, studied by Bethuel, Brezis and H'elein, we do not assume any symmetry on $W$ or $Gamma$. In order to overcome the difficulties due to the lack of symmetry, we develop new tools which might be of independent interest." @default.
- W2620559623 created "2017-06-09" @default.
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- W2620559623 date "2017-01-01" @default.
- W2620559623 modified "2023-09-23" @default.
- W2620559623 title "Asymptotic behavior of critical points of an energy involving a loop-well potential" @default.
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