Title :
Modal representation of transient waves constrained by an elliptical cylinder
Author :
Utkin, Andrei B.
Author_Institution :
INOV - Inesc Inovacao, Portugal
Abstract :
The Cauchy problem for the inhomogeneous wave equation is solved for the case in which both the source and the emanated wave are constrained by an elliptical cylinder. The solution is obtained in the elliptic cylindrical coordinates using an expansion in terms of the elliptic-membrane vibration modes and the Riemann method.
Keywords :
initial value problems; wave equations; Cauchy problem; Riemann method; elliptic cylindrical coordinates; elliptic-membrane vibration modes; emanated wave; inhomogeneous wave equation; transient waves; Approximation methods; Equations; Manganese; Pipelines;
Conference_Titel :
Days on Diffraction (DD), 2010
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0244-0
Electronic_ISBN :
978-5-9651-0529-8
