Mathematical Analysis of Inertial Waves in Rectangular Basins with One Sloping Boundary
Mathematical Analysis of Inertial Waves in Rectangular Basins with One Sloping Boundary
Abstract We consider the problem of small oscillations of a rotating inviscid incompressible fluid. From a mathematical point of view, new exact solutions to the two‐dimensional Poincaré–Sobolev equation in a class of domains including trapezoid are found in an explicit form and their main properties are described. These solutions correspond …