| 非线性黏弹性波方程弱解的存在性 |
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| 引用本文： | 刘中华.非线性黏弹性波方程弱解的存在性[J].太原师范学院学报(自然科学版),2013(2):49-51. |
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| 作者姓名： | 刘中华 |
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| 作者单位： | 山西大学数学科学学院,山西太原030006 |
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| 摘 要： | 为了研究带有黏弹项integral from n=0 to t g(t-τ)Δu(τ)dτ的非线性波方程弱解的存在性问题,文章运用了迦金方法,最后在特定假设条件下证明了非线性方程弱解的存在性.
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| 关 键 词： | 非线性波方程 非线性黏弹项 迦辽金方法 弱解的存在性 |
Existence of Weak Solutions to the Nonlinear Viscoelastic Wave Equations |
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| Liu Zhonghua.Existence of Weak Solutions to the Nonlinear Viscoelastic Wave Equations[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(2):49-51. |
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| Authors: | Liu Zhonghua |
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| Institution: | Liu Zhonghua (School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China) |
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| Abstract: | To investigate the existence of weak solutions to the nonlinear wave equationswith nonlinear viscoelastic term ∫t0g（t-τ）Δu（τ）dτ,we use the Faedo-Galerkin method, finally, weprove the existence of weak solutions to the nonlinear wave equations under the condition of cer- tain assumptions. |
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| Keywords: | nonlinear wave equations nonlinear viscoelastic term Faedo-Galerkin method existence of weak solutions |
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