On slow waves in curvilinear fluid layers

Author: Molotkov L.  

Publisher: Springer Publishing Company

ISSN: 1072-3374

Source: Journal of Mathematical Sciences, Vol.173, Iss.3, 2011-03, pp. : 278-290

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Abstract

Slow waves may propagate in thin fluid layers surrounded by elastic media. These waves possess dispersion and their velocities are equal to zero for the zero frequency. To investigate these waves, we consider several fluid layers between elastic media: (1) a plane layer, (2) a cylindrical layer along an element of a cylinder, (3) a cylindrical layer along a directrix, and (4) a spherical layer. In all cases, we derive expressions for the velocities of slow waves and compare these expressions. Slow waves carry large energy and are of great interest for investigation of waves propagating between holes. Bibliography: 6 titles.