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An Energy Estimate for the Biharmonic Equation and its Application to Saint-Venant's Principle in Plane Elastostatics

机译：双谐方程的能量估计及其在平面弹性静力学中的圣维南原理的应用

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A new energy estimate is given for a boundary value problem for theudbiharmonic equation. The result is applied to the estimation of stresses inuda plane elasticity problem.

机译：对于 udbiharmonic方程的边值问题，给出了新的能量估计。该结果将应用于平面弹性问题中的应力估计。

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Knowles James K.;
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年度 1983
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专利

1. Spatial decay estimates for the biharmonic equation in plane polars with applications to plane elasticity [J] . Chirita S, DApice C Mathematics and mechanics of solids: MMS . 2007,第3期

机译：平面极坐标中双调和方程的空间衰减估计及其在平面弹性中的应用
2. MAXIMUM AND MINIMUM PRINCIPLES FOR A CLASS OF MONGE-AMPERE EQUATIONS IN THE PLANE, WITH APPLICATIONS TO SURFACES OF CONSTANT GAUSS CURVATURE [J] . Enache Cristian Communications on pure and applied analysis . 2014,第3期

机译：一类平面上的安培方程的最大和最小原理及其在恒定高斯曲面的应用
3. Extended application of Kohn-Sham first-principles molecular dynamics method with plane wave approximation at high energy-From cold materials to hot dense plasmas [J] . Zhang Shen, Wang Hongwei, Kang Wei, Physics of plasmas . 2016,第4期

机译：具有高能平面波近似的Kohn-Sham第一性原理分子动力学方法的扩展应用-从冷材料到热致密等离子体
4. Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One- Dimensional Vicous Flow in a Shock Tube by Central Difference Schemes [C] . A. Jameson AIAA Computational Fluid Dynamics Conference . 2007

机译：非线性守恒律的能量估计及其在Burgers方程和一维激波管中的一维涡流解中的应用（中心差分法）
5. An Analysis Framework to Study Steady State Friction Dominated Saint-Venant Equations. [D] . Ali, Mohammad Mostafa. 2011

机译：研究稳态摩擦支配的圣维南方程的分析框架。
6. A lattice Boltzmann model for the open channel flows described by the Saint-Venant equations [O] . Zhonghua Yang, Fengpeng Bai, Ke Xiang 2019

机译：Saint-Venant方程描述的明渠流动的格子Boltzmann模型
7. Decay estimates for the biharmonic equation with applications to Saint-Venant principles in plane elasticity and Stokes flows [O] . C. O. Horgan 1989

机译：在平面弹性和斯托克斯流动中衰减双摇臂方程的衰变估计。
8. Saint-Venant Principle for a Theory of Nonlinear Plane Elasticity.(Reannouncement with New Availability Information) [R] . Horgan, C. O., Payne, L. E. 1992

机译：非线性平面弹性理论的圣维南原理（新可用性信息的重新公布）

An Energy Estimate for the Biharmonic Equation and its Application to Saint-Venant's Principle in Plane Elastostatics

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