• DocumentCode
    545831
  • Title

    Modal representation of transient waves constrained by an elliptical cylinder

  • Author

    Utkin, Andrei B.

  • Author_Institution
    INOV - Inesc Inovacao, Portugal
  • fYear
    2010
  • fDate
    8-11 June 2010
  • Firstpage
    171
  • Lastpage
    173
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • 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
  • Type

    conf

  • Filename
    5775664
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=545831