II型の粘弾性記憶を持つMoore-Gibson-Thompson方程式の一般崩壊【JST・京大機械翻訳】

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J-GLOBAL ID：202202263880184079 整理番号：22A1040145

General Decay of the Moore-Gibson-Thompson Equation with Viscoelastic Memory of Type II

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巻： 2022 ページ： Null 発行年： 2022年
JST資料番号： U7771A ISSN： 2314-8896 資料種別：逐次刊行物 (A)
記事区分：原著論文発行国：イギリス (GBR) 言語：英語 (EN)

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引用文献 (19件)：

I. Lasiecka, X. Wang, "Moore-Gibson-Thompson equation with memory, part II: general decay of energy," Journal of Differential Equations, vol. 259, no. 12, pp. 7610-7635, 2015.
R. Marchand, T. McDevitt, R. Triggiani, "An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability," Mathematical Methods in the Applied Sciences, vol. 35, no. 15, pp. 1896-1929, 2012.
B. Kaltenbacher, I. Lasiecka, M. Pospieszalska, "Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound," Mathematical Models and Methods in Applied Sciences, vol. 22, no. 11, pp. 195-207, 2012.
C. M. Dafermos, "An abstract Volterra equation with applications to linear viscoelasticity," Journal of Differential Equations, vol. 7, no. 3, pp. 554-569, 1970.
J. E. Muñoz Rivera, "Asymptotic behaviour in linear viscoelasticity," Quarterly of Applied Mathematics, vol. 52, pp. 629-648, 1994.

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