A global solution is presented that accurately accounts for the
singular behavior at all irregular points. The linearized boundary
value problem in a semi-infinite strip in the physical plane is
transformed into a smooth unit disk by two successive conformal
mappings. The global solution results from a Fredholm integral
equation...
A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...