The eigenvalue spectrum of the Rayleigh equation for a plane shear layer
โ Scribed by William W.-W. Liou; Philip J. Morris
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 393 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0271-2091
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๐ SIMILAR VOLUMES
The aim of this article is to describe a numerical scheme for the generation of the eigenvalue spectrum and elementary solutions of local multigroup multiplication eigenvalue equations within the framework of spectral nodal diffusion methods. In contrast to the scheme that is currently used by other
In this work, we show that the eigenvalues of the problem \[ \begin{cases}\left(\Delta^{2}+V(x)+\lambda\right) u(x)=0 & x \in \Omega \\ u(x)=\Delta u(x)=0 & x \in \partial \Omega\end{cases} \] are generically simple in the set of \(\mathcal{C}^{4}\) regular regions of \(\mathbb{R}^{n}, n \geq 2\).