Mathematical problems of wave propagation in anisotropic media
2006
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Advisor: Prof. Dr. Valery Yakhno
Abstract (EN)
This thesis is related with Initial Value Problem (IVP) and Initial Boundary Value Problem (IBVP) in a half space for the dynamic system of anisotropic elasticity. The existence and uniqueness theorems for IVP are established by using the tfıeory of symmetric hyperbolic sys-tems. An analytic method based on symbolic calculations for the construction of displacements for IVP is obtained. This method is extended for IBVP in a half space and it is proved that the obtained solution is a weak solution. The uniqueness of the solution for IBVP is also studied. Finally, the simulations of elastic wave propagations for both problems in different anisotropic crystals are obtained.
Author
Dr. Hakan Kasım Akmaz
How to Cite
Hakan Kasım Akmaz (Doctorate thesis). Mathematical problems of wave propagation in anisotropic media, 2006, Dokuz Eylül University.
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