"The propagation of elastic waves in a homogeneous solid is governed by a hyperbolic system of three linear second-order partial differential equations with constant coefficients. When the solid is also isotropic, the form of these equations is well known and provides the foundation of the conventional theory of elasticity (Love 1944). The explicit solution of the initial value, or Cauchy, problem for the isotropic case was found by Poisson, and in a different way by Stokes (1883). If the initial disturbance is sharp and concentrated, the resulting disturbance at a field point will consist of an initial sharp pressure wave, a continuous wave for a certain period, and a final sharp shear wave. The disturbance then ceases."
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George F. D. Duff
George Francis Denton Duff (29 July 1926 – 2 March 2001) was a Canadian mathematician, known for his research on partial differential equations and wave phenomena, including tidal energy. He was a plenary speaker at the International Congress of Mathematicians in 1974 in Vancouver.
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