56 citations · 204 across the 21 of their papers we have counts for
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math.AP2019★ 4 cited
Uniqueness and non-uniqueness of steady states of aggregation-diffusion equations
Matias G. Delgadino, Xukai Yan, Yao Yao
We consider a nonlocal aggregation equation with degenerate diffusion, which describes the mean-field limit of interacting particles driven by nonlocal interactions and localized r…
math.AP2019★ 19 cited
Symmetry in stationary and uniformly-rotating solutions of active scalar equations
Javier Gómez-Serrano, Jaemin Park, Jia Shi +1
In this paper, we study the radial symmetry properties of stationary and uniformly-rotating solutions of the 2D Euler and gSQG equations, both in the smooth setting and the patch s…