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Simple Inequalities in the Vibrating String and Heat Conduction Problems

机译：振动弦和热传导问题的简单不等式

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摘要

Certain inequalities are presented, related to the L(2) norms of the solutions to the vibrating string and heat conduction partial differential particular, an 'L(2) maximum principle' is derived for the heat equation, and similar inequalities for the vibrating string problem.

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作者
Pachter, M.; Becker, R. I.;
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年度 1981
页码 p.1-26
总页数 26
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Conductive heat transfer; Inequalities; Linear evolution equations; Optimal control; Partial differential equations; Strings; Vibration; Control theory; Displacement; Fourier transformation; Group theory;

机译：传导传热;不等式;线性发展方程;最优控制;偏微分方程;弦;振动;控制理论;位移;傅立叶变换;群论;

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1. Inequalities between Dirichlet and Neumann eigenvalues of vibrating strings [J] . M.-J. Huang Acta mathematica Hungarica . 2018,第2期

机译：振动字符串的Dirichlet和Neumann特征值之间的不等式
2. Entropy and temperature gradients thermomechanics: Dissipation, heat conduction inequality and heat equation [J] . Maitournam M.-H. Comptes rendus. Mecanique . 2012,第6期

机译：熵和温度梯度热力学：耗散，热传导不等式和热方程
3. Heat conduction in cylinders: Entropy generation and mathematical inequalities [J] . Xiaowei Tian, Liqiu Wang International Journal of Heat and Mass Transfer . 2018,第juna期

机译：气缸中的热传导：熵的产生和数学不等式
4. Research and Application on Vibrating Style Drier with Conduction and Heat Transfer [C] . Jing Jiang, Tong Zhu, Yuanhua Xie, International conference on e-Engineering Digital Enterprise Technology . 2009

机译：导通和传热振动式干燥机的研究与应用
5. Studies in isothermal heat conduction calorimetry: I. The 2-drop calorimeter and educational applications. II. The quartz crystal microbalance/heat conduction calorimeter (QCM/HCC) and applications in studying the thermodynamic and rheological properties of polymer and protein thin films at a solid-gas interface. [D] . Mulligan, Rose B. 2002

机译：等温热传导量热法的研究：I.两滴量热仪和教育应用。二。石英晶体微天平/热传导量热仪（QCM / HCC）及其在研究固-气界面处聚合物和蛋白质薄膜的热力学和流变特性方面的应用。
6. Low Dimensional String-like Relaxation Underpins Superionic Conduction in Fluorites and Related Structures [O] . Ajay Annamareddy, Jacob Eapen -1

机译：低维弦状弛豫支撑了萤石和相关结构中的超离子传导
7. Some isoperimetric inequalities for the eigenvalues of vibrating strings [O] . David Barnes 1969

机译：一些异常的振动字符串特征值不等式
8. Modifications to Fourier's law of heat conduction through the use of a simple collision model [R] . Meador, W. E. 1970

机译：通过使用简单的碰撞模型修改傅里叶热传导定律

Simple Inequalities in the Vibrating String and Heat Conduction Problems

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