Conservation law for the Cauchy--Navier equation of elastodynamics wave via Fourier transform
Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 100-106
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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.
@article{TIMB_2016_24_1_a11,
author = {V. I. Korzyuk and N. V. Vinh and N. T. Minh},
title = {Conservation law for the {Cauchy--Navier} equation of elastodynamics wave via {Fourier} transform},
journal = {Trudy Instituta matematiki},
pages = {100--106},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a11/}
}
TY - JOUR AU - V. I. Korzyuk AU - N. V. Vinh AU - N. T. Minh TI - Conservation law for the Cauchy--Navier equation of elastodynamics wave via Fourier transform JO - Trudy Instituta matematiki PY - 2016 SP - 100 EP - 106 VL - 24 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a11/ LA - en ID - TIMB_2016_24_1_a11 ER -
%0 Journal Article %A V. I. Korzyuk %A N. V. Vinh %A N. T. Minh %T Conservation law for the Cauchy--Navier equation of elastodynamics wave via Fourier transform %J Trudy Instituta matematiki %D 2016 %P 100-106 %V 24 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a11/ %G en %F TIMB_2016_24_1_a11
V. I. Korzyuk; N. V. Vinh; N. T. Minh. Conservation law for the Cauchy--Navier equation of elastodynamics wave via Fourier transform. Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 100-106. http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a11/