韩小森,王明新.带非线性阻尼的粘弹方程解的整体存在性和一致衰减性[J].数学年刊A辑,2009,30(1):31~42 |
带非线性阻尼的粘弹方程解的整体存在性和一致衰减性 |
Global Existence and Uniform Decay of Solutions to Viscoelastic Equations with Nonlinear Damping |
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DOI: |
中文关键词: 整体存在性 指数衰减性 粘弹方程 非线性阻尼 |
英文关键词:Global existence, Exponential decay, Viscoelastic equations, Nonlinear
damping |
基金项目:国家自然科学基金,江苏省自然科学基金,江苏省普通高校研究生科研创新计划 |
Author Name | Affiliation | E-mail | HAN Xiaosen | Department of Mathematics, Southeast University, Nanjing 210018, China
College of Mathematics and Information Science, Henan University, Kaifeng
475001, Henan, China. | xiaosen han@163.com | WANG Mingxin | Department of Mathematics, Southeast University, Nanjing 210018, China. | mxwang@seu.seu.edu.cn |
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中文摘要: |
研究带有非线性阻尼的粘弹方程,得到了弱解整体存在性和一致指数衰减性. |
英文摘要: |
This paper investigates the viscoelastic equations with nonlinear damping. The
global existence of weak solution and uniform decay of the energy are obtained. |
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