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- W4310857740 abstract "We consider the asymptotic behavior as ɛ goes to zero of the 2D smectics model in the periodic setting given by Eɛ(w)=12∫T21ɛ∂1−1∂2w−∂112w22+ɛ∂1w2dx.We show that the energy Eɛ(w) controls suitable Lp and Besov norms of w and use this to demonstrate the existence of minimizers for Eɛ(w), which has not been proved for this smectics model before, and compactness in Lp for an energy-bounded sequence. We also prove an asymptotic lower bound for Eɛ(w) as ɛ→0 by means of an entropy argument." @default.
- W4310857740 created "2022-12-19" @default.
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- W4310857740 date "2023-03-01" @default.
- W4310857740 modified "2023-09-27" @default.
- W4310857740 title "A smectic liquid crystal model in the periodic setting" @default.
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- W4310857740 doi "https://doi.org/10.1016/j.na.2022.113187" @default.
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