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- W2022603749 abstract "We prove thatfor any $H: R^2 to R$ whichis $Z^2$-periodic,there exists $H_varepsilon$, which is smooth, $varepsilon$-closeto $H$ in $L^1$, with $L^infty$-normcontrolled by the one of $H$,and with the same averageof $H$,for which there exists a smooth closed curve $gamma_varepsilon$whose curvature is $H_varepsilon$.A pinning phenomenonfor curvature driven flow with a periodic forcing termthen follows. Namely,curves in fine periodic media may be movedonly by small amounts, of the order ofthe period." @default.
- W2022603749 created "2016-06-24" @default.
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- W2022603749 date "2011-01-01" @default.
- W2022603749 modified "2023-10-11" @default.
- W2022603749 title "Closed curves of prescribed curvature and a pinning effect" @default.
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- W2022603749 doi "https://doi.org/10.3934/nhm.2011.6.77" @default.
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