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 ...
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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. ...
1.15. 相对而言,置换深度(桩体长度)是一个更为重 要、也更为困难的课题.一定土质条件下,它主要取 决于夯击的能量(主要是单点夯击能),也与锤径大 小有密切关系.刘惠珊等 [3] 曾提出首先求出锤底压 力,然后视墩体为一刚性基础,利用墩底处土层的强 度条件来求置换深度的理论思路.但这一概化模型 与实...
The one-dimensional wave equation with general boundary con- ditions. Arch. Math., 96:177-186, 2011.E. Alvarez-Pardo and M. Warma. The one-dimensional wave equation with general boundary conditions. Arch. Math. (Basel) 96 (2011), 177-186....
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 ...
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...
Boundary Output Feedback Stabilization of a One-Dimensional Wave Equation System with Time Delay The stabilization with time delay in observation and control represents extremely difficult mathematical challenges in distributed parameter systems control. It is well-known that the closed-loop stability achiev...
Analysis of the Green’s function approach to one‐dimensional inverse problems. I. One parameter reconstruction An analysis of a Green’s function approach (based on wave splitting) to the one‐dimensional electromagnetic inverse problem is given. The Gree... S He,SI Kabanikhin,VG Romanov,.....
A scheme is presented for the solution of inverse scattering problems for the one-dimensional Helmholtz equation. The scheme is based on a combination of t... Y Chen - 《Inverse Problems》 被引量: 94发表: 1992年 The three dimensional inverse scattering problem for acoustic waves We consider ...