Conservation law for the Cauchy-Navier equation of elastodynamics wave via Fourier transform

Details Conservation law for the Cauchy-Navier equation of elastodynamics wave via Fourier transform Conservation law for the Cauchy-Navier equation of elastodynamics wave via Fourier transform

2012-03-14

arxiv.org/abs/1203.3104v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

In this paper, we use the method of Fourier analysis to derive the formula of
the total energy for the Cauchy problem of the Cauchy-Navier elastodynamics
wave equation describing the motion of an isotropic elastic body. The
conservation law of the total energy is obtained and consequently, the global
uniqueness of the solution to the problem is implied.

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