Asymptotic equipartition of energy for equations of elasticity | Zendy

Sandefur J. T. | Zendy; Payne L. | Zendy

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Asymptotic equipartition of energy for equations of elasticity

Author(s) -

Sandefur J. T.,

Payne L.

Publication year - 1983

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670050114

Subject(s) - mathematics , equipartition theorem , elasticity (physics) , bounded function , mathematical analysis , orthogonality , boundary value problem , geometry , physics , quantum mechanics , magnetic field , thermodynamics

In this paper we give a review of the equipartition of energy results of Goldstein and Sandefur [3], [4], [5] as well as proving a new result in the case of a particular fourth order equation. These results are then applied to the equations of elasticity to give a weak asymptotic orthogonality for the shear and pressure waves. In the case of boundary value problems in the interior of a bounded domain we get weak asymptotic orthogonality in the average.

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