Study of trapped modes in two and three layer fluids

Abstract

Trapped waves are of considerable interest in providing examples of discrete wave frequencies in the presence of a continuous spectrum In this thesis we 224 164 8217 rst investigate the existence of trapped modes in a two layer 224 164 8220 uid of 224 164 8217 nite depth subject to di 224 164 erent conditions i upper surface bounded above by a rigid lid ii upper surface bounded above by a thin ice cover iii 224 164 8220 uid 224 164 8220 owing over an elastic bottom at a 224 164 8217 nite depth In all these problems a submerged horizontal circular