3 papers
physics.flu-dyn2019
Exact solution for progressive gravity waves on the surface of a deep fluid
Nail S. Ussembayev
Gerstner or trochoidal wave is the only known exact solution of the Euler equations for periodic surface gravity waves on deep water. In this Letter we utilize Zakharov's variation…
physics.flu-dyn2019
Non-interacting gravity waves on the surface of a deep fluid
Nail S. Ussembayev
We study the interaction of gravity waves on the surface of an infinitely deep ideal fluid. Starting from Zakharov's variational formulation for water waves we derive an expansion…
math.NT2009
Young's Inequality and Fermat's Last Theorem
Nail Ussembayev
This paper has been withdrawn by the author for further investigation.