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- W4287703209 abstract "We prove that the energy-critical half-wave maps equation [ partial_t mathbf{S} =mathbf{S} times |nabla| mathbf{S}, quad (t,x) in mathbb{R} times mathbb{T} ] arises as an effective equation in the continuum limit of completely integrable Calogero-Moser classical spin systems with inverse square $1/r^2$ interactions on the circle. We study both the convergence to global-in-time weak solutions in the energy class as well as short-time strong solutions of higher regularity. The proofs are based on Fourier methods and suitable discrete analogues of fractional Leibniz rules and Kato-Ponce-Vega commutator estimates. In a companion paper, we further extend our arguments to study the real line case and more general spin interactions." @default.
- W4287703209 created "2022-07-26" @default.
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- W4287703209 date "2020-07-30" @default.
- W4287703209 modified "2023-09-27" @default.
- W4287703209 title "Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems" @default.
- W4287703209 doi "https://doi.org/10.48550/arxiv.2007.15323" @default.
- W4287703209 hasPublicationYear "2020" @default.
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