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

2012/03/14 by Van Vinh, Nguyen, Minh, Nguyen Tuan
#35A05 #35A22 #35Q72 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.3104

Abstract

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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