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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 1

Continuous dependence of solutions for damped improved Boussinesq equation

Şevket GÜR
Sema BAYRAKTAR
Pages
334–341
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

The continuous dependence of solutions on dispersive (δ) and (r) and dissipative (b) coefficients areestablished by multiplier method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the initial-boundary value problem for a damped nonlinear improved Boussinesq equationis studied.
📊
Key Findings & Data:A priori estimates for the solution of the equation are obtained in terms of initial data and coefficients ofthe problem.
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Conclusion & Impact:The continuous dependence of solutions on dispersive (δ) and (r) and dissipative (b) coefficients areestablished by multiplier method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, the initial-boundary value problem for a damped nonlinear improved Boussinesq equationis studied. A priori estimates for the solution of the equation are obtained in terms of initial data and coefficients ofthe problem. The continuous dependence of solutions on dispersive (δ) and (r) and dissipative (b) coefficients areestablished by multiplier method.

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Cite This Article

GÜR, Ş., BAYRAKTAR, S. (2022). Continuous dependence of solutions for damped improved Boussinesq equation. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 1, 334–341. https://ajindex.com/articles/608792

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