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Journals / Conference Proceedings of Science and Technology / 2020 / Cilt: 3 Sayı: 2

Global Existence and General Decay of Solutions for Quasilinear System with Degenerate Damping Terms

Erhan Pişkin(DICLE UNIVERSITY)
Fatma Ekinci(Dicle üniversitesi)
Pages
222–226
Publication Date
2020-12-28
DOI
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AI Summary & Key Takeaways

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

This work generalizes and improves earlier results in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we investigate a quasilinear system of two viscoelastic equations with degenarete damping, dispersion and source terms under Dirichlet boundary conditions.
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Key Findings & Data:Under suitable conditions on the relaxation function $h_{i}$ $\left( i=1,2\right)$ and initial data, we establish global existence and general decay results.
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Conclusion & Impact:This work generalizes and improves earlier results in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:General decay · Viscoelastic equations · Degenerate damping terms

Abstract

In this work, we investigate a quasilinear system of two viscoelastic equations with degenarete damping, dispersion and source terms under Dirichlet boundary conditions. Under suitable conditions on the relaxation function $h_{i}$ $\left( i=1,2\right)$ and initial data, we establish global existence and general decay results. This work generalizes and improves earlier results in the literature.

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Cite This Article

Pişkin, E., Ekinci, F. (2020). Global Existence and General Decay of Solutions for Quasilinear System with Degenerate Damping Terms. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 2, 222–226. https://ajindex.com/articles/984323

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References (9)

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