International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 333-338
doi:10.1155/S0161171292000413
Transient development of gravity waves for two layered fluids
A.H. Essawy
and M.S. Faltas
Department of Mathematics, University of Bahrain, P.O. Box 32038, Isa Town, Bahrain
Abstract
The transient gravity waves generated by a harmonically oscillating wave maker immersed in two incompressible fluids, the upper fluid having a free surface, is considered. The resulting linearized initial value problem is solved using the method of generalized functions, and asymptotic analysis for large time and distance are given for the elevation.