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Fundamental bounds for steady water waves

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The two-dimensional free-boundary problem of steady gravity waves on water of finite depth is considered. Bounds on the free-surface profiles and on the values of Bernoulli’s constant are obtained under minimal assumptions about properties of solutions to the problem.

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Correspondence to Nikolay Kuznetsov.

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Kozlov, V., Kuznetsov, N. Fundamental bounds for steady water waves. Math. Ann. 345, 643–655 (2009). https://doi.org/10.1007/s00208-009-0370-4

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  • DOI: https://doi.org/10.1007/s00208-009-0370-4

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