A variational principle for nonlinear water waves
This paper is concerned with a variational formulation of non- axisymmetric water waves and of two-dimensional surface waves in a running stream of finite depth. The full set of equations of motions for the non-axisymmetric water wave problem in cylindrical polar coordinates and for the two-dimensional surface waves in the running stream in Cartesian coordinates is obtained from a Lagrangian function which is equal to the pressure.
variational formulation of non- axisymmetric water waves
scientific article; zbMATH DE number 4041432