Abstract:
The Cauchy problem for the equations of motion of a homogeneous transversally isotropic elastic medium is considered. For its solution, a short-wavelength asymptotic expansion is constructed, which is also applicable near specific directions. The resonance set, i.e., the set of points at which the ray expansion cannot be used is described.
Key words:wave propagation problem, interaction of short waves, short-wavelength asymptotics, ray method.
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