In this chapter, we study the control problem of the linear wave equation $$\\\frac{\\\partial^2 u}{\\\partial t^2} = c^2 abla^2 u.$$ This equation can serve as a mathematical model for many physical problems, such as the vibration of a membrane. In the membrane problem, u ...
In this chapter, we study the control problem of the one-dimensional wave equation $$\frac{\partial^2 u}{\partial t^{2}} = c^2 \frac{\partial^2 u}{\partial x^2}.$$ A typical physical problem modeled by the wave equation is the vibration of a string. In this problem, u = u...
1) one dimensional wave equation 一维波波动方程式1. This paper is to study how the lengths of foundation piles influencing driven piles by one dimensional wave equation. 应用一维波波动方程式探讨基桩长度对打击桩的影响。2) one-dimensional wave equation 一维波动方程 1. Long-term stability of ...
摘要: In this paper we give seriel solutions of boundary-valued problems concern- ing the one-dimensional wave equation u_(tt)-c~2u_(xx)=0,with boundaries x=f(t) satisfying the condition|f′(t)|c,and prove the problems to be well-posed....
Theoretical or Mathematical/ boundary-value problemseigenvalues and eigenfunctionspolynomialsviscoelasticitywave equations/ 1D wave equationexponential polynomial kernel memoryviscous dampingDirichlet boundary conditiontime-variant systemspectral analysisWe study the dynamic behavior of a one-dimensional wave equation ...
one-dimensional-scalar-wave-equation网络一维标量波动方程网络释义 1. 一维标量波动方程 翻译项目网|翻译人才... ... one-dimensional scalar wave equation 一维标量波动方程 one-dimensional seismic trace 一维地震 …www.eeso.net|基于18个网页© 2024 Microsoft 隐私声明和 Cookie 法律声明 广告 帮助 反馈...
Inverse Problem for the One-dimensional Wave Equation 来自 ResearchGate 喜欢 0 阅读量: 22 作者: ML Gerver 摘要: SummaryThe problems of determination of velocity-depth functions from travel-time curves or from dispersion curves show that the solution of an inverse problem may not be unique. ...
One-Dimensional Wave Eguation Model for Estimatin Replacement Depth of Dynamic Replacement Luo Sihai 1 ,Pan Xiao ing 1 ,Huang Songhua 1 ,Gong Xiaonan 2 (1. Department of Resources and En ironmental Engineering,East China Geological Institute,Fuzhou 344000,Chi- na;2. Department of Ci il Engin...
We present a method for two-scale model derivation of the periodic homogenization of the one-dimensional wave equation in a bounded domain. It allows for analyzing the oscillations occurring on both microscopic and macroscopic scales. The novelty reported here is on the asymptotic behavior of high ...
We discuss the Cauchy problem for a one-dimensional wave equation with white noise boundary condition. We also establish the existence of an invariant measure when the noise is additive. Similar problems for parabolic equations were discussed by several authors. To our knowledge, there is only one...