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Water waves.

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Water waves.

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Ships --- Water waves. --- Hydrodynamics.

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Water waves --- Waves

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This dissertation by Evgeniy Lokharu addresses the mathematical modeling and analysis of steady water waves with vorticity. The research explores the complexities introduced by vorticity in finite-depth water waves, neglecting surface tension effects but considering rotational flows. It verifies conjectures related to these flows, including the classification of waves as either Stokes or solitary waves based on certain parameters. The study also examines large-amplitude waves and counter-current flows, providing bounds and proving the existence of various wave profiles. The work is intended for mathematicians and researchers in fluid dynamics, offering significant theoretical foundations and proofs within the field.

Water waves. --- Mathematical models.