Abstract
Up to now we have only been concerned with the temporal evolution of disturbances. However, it is conceivable that the physical situation requires the modeling of the disturbance amplitude/energy as a spatially growing quantity. Vibrating ribbons or harmonic point sources are only two of many situations where a spatial framework is more appropriate than a temporal one. In this section we develop the mathematical basis for a spatial linear stability analysis and discuss the relation between the temporal and spatial settings.
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© 2001 Springer Science+Business Media New York
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Schmid, P.J., Henningson, D.S. (2001). Growth of Disturbances in Space. In: Stability and Transition in Shear Flows. Applied Mathematical Sciences, vol 142. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0185-1_7
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DOI: https://doi.org/10.1007/978-1-4613-0185-1_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6564-1
Online ISBN: 978-1-4613-0185-1
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