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Journals / Middle East Journal of Science / 2018 / Volume: 4 Issue: 2

BLOW UP OF SOLUTIONS FOR A TIMOSHENKO EQUATION WITH DAMPING TERMS

Erhan Pişkin0000-0001-6587-4479
Hazal Yüksekkaya0000-0002-1863-2909
Pages
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Publication Date
2018-12-27
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We show that the blow up of solutions with positive and negative initial energy.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, we studied the following equation u_{tt}+△²u-M(‖∇u‖²)△u-△u_{t}+u_{t}=|u|^{q-1}u regard to initial and Dirichlet boundary condition.
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Key Findings & Data:In this work, we studied the following equation u_{tt}+△²u-M(‖∇u‖²)△u-△u_{t}+u_{t}=|u|^{q-1}u regard to initial and Dirichlet boundary condition.
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Conclusion & Impact:We show that the blow up of solutions with positive and negative initial energy.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Timoshenko equation · Blow up · Damping term

Abstract

In this work, we studied the following equation u_{tt}+△²u-M(‖∇u‖²)△u-△u_{t}+u_{t}=|u|^{q-1}u regard to initial and Dirichlet boundary condition. We show that the blow up of solutions with positive and negative initial energy.

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Cite This Article

Pişkin, E., Yüksekkaya, H. (2018). BLOW UP OF SOLUTIONS FOR A TIMOSHENKO EQUATION WITH DAMPING TERMS. Middle East Journal of Science, Volume: 4 Issue: 2. https://doi.org/10.23884/mejs.2018.4.2.03

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