A Note on Calculation of Asymptotic Energy for a Functional of Ginzburg-Landau Type with Externally Imposed Lower-Order Oscillatory Term in One Dimension
In this note we consider the Ginzburg-Landau functional where and a is 1-periodic. We determine how (rescaled) minimal asymptotic energy associated to depends on parameter as . In particular, our analysis shows that minimizers of are nearly -periodic.