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Singular Flows with Time-Varying Weights
DOI:10.1007/s00205-026-02216-1.png)
Abstract
En 中文
We study the mean field limit for singular dynamics with time evolving weights. Our results are an extension of the work of Serfaty [14] and Bresch-Jabin-Wang [8], which consider singular Coulomb flows with weights which are constant time. The inclusion of time dependent weights necessitates the commutator estimates of [8, 14], as well as a new functional inequality. The well-posedness of the mean field PDE and the associated system of trajectories is also proven.
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2.4
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156
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1.2W

