Eliciting harmonics on strings

Steven J. Cox; Antoine Henrot

Displaying similar documents to “Eliciting harmonics on strings”

The geometrical quantity in damped wave equations on a square

Pascal Hébrard, Emmanuel Humbert (2006)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The energy in a square membrane subject to constant viscous damping on a subset $ω \subset Ω$ decays exponentially in time as soon as satisfies a geometrical condition known as the “Bardos-Lebeau-Rauch” condition. The rate $τ (ω)$ of this decay satisfies $τ (ω) = 2 min (- μ (ω), g (ω))$ (see Lebeau [ (1996) 73–109]). Here $μ (ω)$ denotes the spectral abscissa of the damped wave equation operator and $g (ω)$ is a number called the geometrical quantity of and defined as follows. A ray in is the trajectory generated by the free...

The analysis of contour integrals.

Tanriverdi, Tanfer, McLeod, John Bryce (2008)

Abstract and Applied Analysis

Similarity:

Stabilization of Timoshenko beam by means of pointwise controls

Gen-Qi Xu, Siu Pang Yung (2003)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build...