张宏伟, 张桂霞. 具非线性阻尼和源项的Timoshenko方程解的爆破[J]. 信阳师范学院学报(自然科学版), 2017, 30(1): 5-8. DOI: 10.3969/j.issn.1003-0972.2017.01.002
引用本文: 张宏伟, 张桂霞. 具非线性阻尼和源项的Timoshenko方程解的爆破[J]. 信阳师范学院学报(自然科学版), 2017, 30(1): 5-8. DOI: 10.3969/j.issn.1003-0972.2017.01.002
ZHANG Hongwei, ZHANG Guixia. Blowup of Solutions for Timoshenko Beam with Nonlinear Damping and Source Terms[J]. Journal of Xinyang Normal University (Natural Science Edition), 2017, 30(1): 5-8. DOI: 10.3969/j.issn.1003-0972.2017.01.002
Citation: ZHANG Hongwei, ZHANG Guixia. Blowup of Solutions for Timoshenko Beam with Nonlinear Damping and Source Terms[J]. Journal of Xinyang Normal University (Natural Science Edition), 2017, 30(1): 5-8. DOI: 10.3969/j.issn.1003-0972.2017.01.002

具非线性阻尼和源项的Timoshenko方程解的爆破

Blowup of Solutions for Timoshenko Beam with Nonlinear Damping and Source Terms

  • 摘要: 研究了具非线性阻尼和源项的Timoshenko方程初边值问题整体解的不存在性.对正初始能量和适当的初始条件,利用一个微分不等式给出了Timoshenko梁方程初边值问题整体解的不存在的充分条件.

     

    Abstract: A kind of one-dimensional Timoshenko model for beam with nonlinear damping and source terms was investigated. By a differential inequality, for positive initial energy and appropriate initial datum, a sufficient condition for the global nonexistence of solution to the Timoshenko system was given.

     

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