Formation of singularities in three-dimensional compressible fluids
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Presented are several results on the formation of singularities in solutions to the three-dimensional Euler equations for a polytropic, ideal fluid under various assumptions on the initial data. In particular, it is shown that a localized fluid which is initially compressed and outgoing, on average, will develop singularities regardless of the size of the initial disturbance.
KeywordsNeural Network Statistical Physic Complex System Initial Data Nonlinear Dynamics
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