具有时滞和声学边界条件的对数粘弹性方程的Blow-up

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0310

Sun‐Hye Park

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引用次数: 2

摘要

摘要在本文中，我们建立了具有非线性阻尼、对数源、速度延迟和声学边界条件的粘弹性波动方程的爆破准则。由于阻尼项的非线性，我们不能应用Levine提出的凹度方法。因此，我们用能量法证明了具有负初始能量的解在有限时间后爆炸。此外，我们还研究了爆破时间的上限和下限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions

Abstract In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions. Due to the nonlinear damping term, we cannot apply the concavity method introduced by Levine. Thus, we use the energy method to show that the solution with negative initial energy blows up after finite time. Furthermore, we investigate the upper and lower bounds of the blow-up time.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567