欧拉-伯努利粘弹性方程解的整体存在唯一性和渐近性

M. Mellah, A. Hakem
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引用次数: 2

摘要

Euler-Bernoulli粘弹性方程解的全局存在性、唯一性和渐近性Mohamed Mellah1,*和Ali Hakem21精确科学与计算机科学学院,阿尔及利亚赫莱夫哈西巴·本布阿里大学。2实验室ACEDP,Djillali Liabes大学,22000 Sidi Bel Abbes,阿尔及利亚。;hakemali@yahoo.com*通信:m.mellah@univ-chlef.dz接收日期:2019年4月21日;接受日期:2019年5月8日;出版日期:2019年5月11日。摘要:我们研究了Euler-Bernoulli粘弹性方程utt+∆2u−g1*∆2u+g2*∆u+ut=0初边值问题解的全局存在性和唯一性。进一步,建立了解的渐近性态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Global existence, uniqueness, and asymptotic behavior of solution for the Euler-Bernoulli viscoelastic equation
Global existence, uniqueness, and asymptotic behavior of solution for the Euler-Bernoulli viscoelastic equation Mohamed Mellah1,∗ and Ali Hakem2 1 Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University of Chlef, Chlef Algeria. 2 Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria.; hakemali@yahoo.com * Correspondence: m.mellah@univ-chlef.dz Received: 21 April 2019; Accepted: 8 May 2019; Published: 11 May 2019. Abstract: We study the global existence and uniqueness of a solution to an initial boundary value problem for the Euler-Bernoulli viscoelastic equation utt + ∆2u− g1 ∗ ∆2u + g2 ∗ ∆u + ut = 0. Further, the asymptotic behavior of solution is established.
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