The direct dynamical problem of seismics for horizontally stratified media.
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Karchevskii, A.L. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Krauklis, P.V., Krauklis, A.P. (2004)
Journal of Mathematical Sciences (New York)
Volker Michel (2003)
Revista Matemática Complutense
The elastic behaviour of the Earth, including its eigenoscillations, is usually described by the Cauchy-Navier equation. Using a standard approach in seismology we apply the Helmholtz decomposition theorem to transform the Fourier transformed Cauchy-Navier equation into two non-coupled Helmholtz equations and then derive sequences of fundamental solutions for this pair of equations using the Mie representation. Those solutions are denoted by the Hansen vectors Ln,j, Mn,j, and Nn,j in geophysics....
Singh, N., Tampubolon, D., Yadavalli, V. S. S. (2002)
International Journal of Mathematics and Mathematical Sciences
Demetriu, Sorin, Trandafir, Romică (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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