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Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms
Boundary Value Problems ( IF 1.0 ) Pub Date : 2021-07-16 , DOI: 10.1186/s13661-021-01537-2
Sun-Hye Park 1
Affiliation  

In this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certain positive initial energy, and high initial energy. Furthermore, we estimate not only the upper bound but also the lower bound of the blow-up time.

中文翻译:

具有强阻尼和可变指数源项的粘弹性 von Karman 方程的爆破

在本文中,我们处理具有可变指数源和记忆效应的强阻尼 von Karman 方程。我们研究了具有三个初始能量水平的解决方案的爆破结果,例如非正初始能量、一定正初始能量和高初始能量。此外,我们不仅估计了爆炸时间的上限,还估计了下限。
更新日期:2021-07-16
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