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Sufficiently strong dispersion removes ill-posedness of truncated series models of water waves Ambrose, David


We have previously, in joint work with Jerry Bona, David Nicholls, and Michael Siegel, demonstrated that truncated series models of gravity water waves exhibit ill-posedness. In joint work with Shunlian Liu, we show that the addition of sufficiently strong dispersion makes such a system well-posed. Physically, this strong dispersion can be relevant, for instance, for hydroelastic waves. The proof uses techniques of paradifferential calculus.

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