Abstract
An interesting and important question in the study of the behaviour of solutions of dissipative partial differential equations, is whether it can be shown that large fluctuations or excursions away from temporal and spatial averages can occur. If it can be demonstrated that the solutions of these equations can allow such fluctuations away from averages, then these must have narrow spatial and temporal bandwidths and the width of these will give information about the smallest scale in the flow. Any numerical scheme must ‘resolve’ these spikes to get an accurate representation of the flow. The question of the smallest length scale is the topic of this paper.
Published Version
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