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math.AP2021
A Novel Method for Generating 3D Hydrodynamic Conservation Laws
James Wing Chee Graham, Katie L Oliveras, Olga Trichtchenko
We extend the recent work of Oliveras arXiv:2008.00940 and Oliveras & Calatola-Young arXiv:2105.07580 to develop a new nonlocal formulation of the water-wave problem for a three-di…
math.AP2021
A different derivation of conservation laws for water waves
Katie L Oliveras, Salvatore Calatola-Young
We consider a new nonlocal formulation of the water-wave problem for a free surface with an irrotational flow based on the work of Ablowitz, Fokas, and Musslimani and presented in…