The nonexistence of global solutions is discussed under some conditions on the given parameters.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain.
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Key Findings & Data:The decay estimates of the energy function are established by using Nakao's inequality.
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Conclusion & Impact:The nonexistence of global solutions is discussed under some conditions on the given parameters.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Decay rate · blow up · initial boundary value problem
Abstract
We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.
Özet
We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao's inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.
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