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| Title:
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Wave Propagation in Smart Materials |
| Type:
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ReportReport |
| Participant(s):
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Technical University of Denmark
Email:
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| Abstract:
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In this paper we deal with the behavior of solutions to hyperbolic
equations such as the wave equation:
\begin{equation}\label{waveeq1} \frac{\partial^2}{\partial
t^2}u-\Delta u=f, \end{equation} or the equations of linear
elasticity for an isotropic medium:
\begin{equation}\label{elasteq1} \frac{\partial^2}{\partial t^2}u
-(\lambda+\mu){\text{\rm grad div}} u -\mu\Delta u=0,
\end{equation} where $u=u(t,x)$ denotes a 3-vector field on $\Bbb
R\times\Bbb R^3$, and $\lambda$ and $\mu$ are the Lame-constants. |
| Published:
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