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propagation in spatially periodic, non-dissipative media, such as electromagnetic, elastic, or acoustic waves in metamaterials. This decomposition can also be applied to analyse the growth or decay of flow
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. The first approach considered in this project will leverage the spatial periodicity of the surface roughness. Bloch theory provides a rigorous framework for analyzing wave propagation in spatially periodic
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to improving the reliability and performance of spatial turbo-pumps. To investigate the fundamental mechanisms of these instabilities, a simplified ABS test bench was set up at IRPHE [1]. In this setup
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