Equipartition of energy in wave motion
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In this paper, it was shown that if a solution has compact support then after a finite time the kinetic energy of the wave is constant and equals the potential energy, and the proof employs the Paley-Wiener theorem of Fourier analysis.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1970-11-01 and is currently open access. It has received 38 citations till now. The article focuses on the topics: Wave packet & Equipartition theorem.read more
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On the asymptotic behavior of nonlinear wave equations
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Equipartition of energy in linearized 3-D viscoelasticity
TL;DR: In this paper, a regular and compactly supported initial disturbance propagates in a homogeneous isotropic and linearized viscoelastic medium, and general expressions for the energies are obtained and the decay and equipartition of the kinetic and strain energies, for both the longitudinal and transverse wave, are demonstrated.
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Dissipation rates and partition of energy in thermoelasticity
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Semi-inverse solution for Saint-Venant's problem in the theory of porous elastic materials
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An asymptotic property of solutions of wave equations
TL;DR: Goldstein this article considered wave equations of the form (2) u"(t) + Au(t) = 0 (IER) (' =d/dt) with initial data (3) «(0) = fi E D(A), u'(0)' = /2 E D (A>'2).