Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Series transform solutions for Voigt transients


Authors: George B. Clark, Gerald B. Rupert and James E. Jamison
Journal: Quart. Appl. Math. 25 (1968), 349-361
DOI: https://doi.org/10.1090/qam/99876
MathSciNet review: QAM99876
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Abstract | References | Additional Information

Abstract: Equations for plane and spherical waves in a Voigt medium were investigated to find methods of solution by means of Laplace transforms for transient waves. One type of solution was found in the form of products of infinite series in both the $ s$-plane and the $ t$-plane.


References [Enhancements On Off] (What's this?)

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  • [3] T. M. Lee, Spherical waves in viscoelastic media, J. Acoustical Soc. Amer., 36, 2402-2407 (1964) MR 0183188
  • [4] G. B. Clark and G. B. Rupert, Plane and spherical waves in a Voigt medium, J. Geoph. Res. 71, no. 8, 2047-2053 (1966)
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  • [7] A. Erdelyi, Tables of integral transforms, Vol. 1, McGraw-Hill, New York, 1954
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Additional Information

DOI: https://doi.org/10.1090/qam/99876
Article copyright: © Copyright 1968 American Mathematical Society

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