A Class of Problems in Hydrodynamics

摘要

A number of problems in hydrodynamics which lead to elliptic partial differential equations with oblique boundary conditions are surveyed. These included the initial value problem for a shallow sea with an arbitrary geometry as well as the consideration of a semi-infinite channel bounded by coasts and an ocean. Mathematical models were developed and equations were obtained for a stationary situation, for free oscillations, and for periodic motion under the influence of an external periodic force.