Existence and Stability of Stokes Waves

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This coursework on Stokes Waves integrates advanced concepts of gravity waves, focusing on their stability and existence. It begins with an introduction to the importance and historical context of deep and finite waves. The coursework progresses to explore the equations of motion through conformal transformations and boundary conditions. Detailed analysis includes Stokes wave expansion and traveling wave analysis using Babenko’s Equation. Dynamics and stability are addressed via time-...