具有非线性强阻尼项的高阶kirchhoff型方程的全局吸引子

现代非线性理论与应用(英文) Pub Date : 2016-11-10 DOI:10.4236/IJMNTA.2016.54019

Yuting Sun, Yunlong Gao, Guoguang Lin

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引用次数: 3

摘要

研究了一类具有非线性强阻尼的高阶kirchhoff型波动方程解的全局适定性和全局吸引子。对于强非线性阻尼σ和?，我们假设(H1) - (H4)。在适当的假设下，用伽辽金方法证明了解的存在唯一性，并处理了全局吸引子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term

We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear damping σ and ?, we make assumptions (H1) - (H4). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.

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来源期刊

现代非线性理论与应用(英文)

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111