Simple formulas expressing the total energy of solutions of 3D wave equation, and for electro- and elastodynamics equations via their asymptotics at large time and distance, are obtained. Several examples are considered.
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Dedicated to Vassily Mikhailovich Babich
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 493, 2020, pp. 269–287.
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Plachenov, A.B. Energy of Waves (Acoustic, Electromagnetic, Elastic) Via their Far-Field Asymptotics at Large Time. J Math Sci 277, 653–665 (2023). https://doi.org/10.1007/s10958-023-06871-7
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DOI: https://doi.org/10.1007/s10958-023-06871-7