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most citedCritical thresholds in pressureless Euler--Poisson equations with background states

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Finite-time breakdown of the Euler-alignment system for supercritical initial data

Young-Pil Choi, Eitan Tadmor

We study finite-time breakdown of classical solutions to the Euler-alignment system through the degeneration of the associated Lagrangian flow. This approach allows us to character…