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...
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 study the dynamic behavior of a one-dimensional wave equation with both exponential polynomial kernel memory and viscous damping under the Dirichlet boundary condition. By introducing some new variables, the time-variant system is changed into a time-invariant one. The detailed spectral analysis ...
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 ...
2) 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 byone 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。 3) wave equation in one dimension ...
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 ...
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...
5) one-dimensional wave equation 一维波动方程 1. Long-term stability of solutions to theone-dimensional wave equation; 一维波动方程的解的长期稳定性 2. Oscillation ofone-dimensional wave equationand heat diffusion equation under certain fixed solution conditions is discussed in this paper. ...
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....