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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 379, Pages 67–87 (Mi znsl3838)

About the slow waves in curvilinear fluid layers

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The slow wave can propagate in thin fluid layers surrounded by elastic media. This wave possesses dispersion and its velocity is equal to zero for null frequency. In order to investigate this wave, we consider several fluid layers between elastic media: (1) a plane layer, (2) cylindrical layer along element of cylinder, (3) cylindrical layer along directrix, and (4) spherical layer. In all cases we derive the expressions of velocities of the slow waves and compare these expressions. The slow waves carry big energy and are of great interest for investigation of waves propagating between holes. Bibl. 6 titles.

Key words and phrases: slow wave, fluid layer, curvilinear boundaries, cylindrical surface, spherical surface.

UDC: 550.24

Received: 22.09.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 173:3, 278–290

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© Steklov Math. Inst. of RAS, 2024