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arXiv · 2104.04723

On negative eigenvalues of the spectral problem for water waves of highest amplitude

Vladimir Kozlov·Evgeniy Lokharu
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Abstract

We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.

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Vladimir Kozlov, Evgeniy Lokharu. 2021-04-10. On negative eigenvalues of the spectral problem for water waves of highest amplitude. https://arxiv.org/abs/2104.04723

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