Inverse problems are considered for the linear one-way one-dimensional wave equation or transport equation. In particular the wave speed reconstruction problem for a medium is discussed. Inverse problems for non
In this paper, we consider boundary state feedback stabilization of a one-dimensional wave equation with in-domain feedback/recirculation of an intermediate point velocity. We firstly construct an auxiliary control system which has a nonlocal term of the displacement at the same intermediate point....
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....
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 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...
Helmholtz wave equationinverse scattering problemnumerical method of solutionA one-dimensional inverse scattering problem for the Helmholtz wave equation is considered. The problem consists in reconstruction of the refractive index of transparent inhomogeneous media from a specified complex reflection spectrum....
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2) one-dimensional wave equation 一维波动方程 1. Long-term stability of solutions to the one-dimensional wave equation; 一维波动方程的解的长期稳定性 2. Oscillation of one-dimensional wave equation and heat diffusion equation under certain fixed solution conditions is discussed in this paper. ...
5) one-dimensional wave equation 一维波动方程 1. Long-term stability of solutions to the one-dimensional wave equation; 一维波动方程的解的长期稳定性 2. Oscillation of one-dimensional wave equation and heat diffusion equation under certain fixed solution conditions is discussed in this paper. ...
1. Long-term stability of solutions to the one-dimensional wave equation; 一维波动方程的解的长期稳定性2. Oscillation of one-dimensional wave equation and heat diffusion equation under certain fixed solution conditions is discussed in this paper. 本文研究了一维波动方程和热方程在某种定解条件下解...