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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 493, Pages 269–287 (Mi znsl6971)

This article is cited in 3 papers

Acoustic, electromagnetic and elastic wavefield energy expression via its asymptotics at large times and distances

A. B. Plachenov

MIREA — Russian Technological University, Moscow

Abstract: Simple formulae expressing whole energy of solutions of 3D wave equation, electro- and elastodynamics equations via their asymptotics at large times and distances are obtained. Some examples are considered.

Key words and phrases: wave equation, Maxwell equations, elastodynamics equations, energy, asymptotics.

UDC: 517.956.3, 534.213, 537.876.2

Received: 29.10.2020



© Steklov Math. Inst. of RAS, 2025