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• W1665433395 abstract "The aim of this paper is to study decay estimates for global solutions of the system of linear crystal elasticity in three space dimensions for cubic crystals in the generic nearly isotropic case. Our main result is that for large time, the solutions to the system decay with a decay rate of order t −1/2−1/κ for some κ ∈ N which is strictly positive (cf. Remark 1.2). We should observe that in the isotropic case, the optimal decay rate is t −1 and that the decay rate for the wave equation in n space variables is t −(n−1)/2 . On the other hand, the decay rate for solutions of the Maxwell system for optically biaxial crystals is of order t −1/2 .( See O. Liess,Asymptot. Anal. 4 (1991), 61-95.)" @default.
• W1665433395 created "2016-06-24" @default.
• W1665433395 creator A5075085221 @default.
• W1665433395 date "2009-01-01" @default.
• W1665433395 modified "2023-09-26" @default.
• W1665433395 title "Decay estimates for the solutions of the system of crystal acoustics for cubic crystals" @default.
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• W1665433395 doi "https://doi.org/10.3233/asy-2009-0932" @default.
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