145 citations · 309 across the 27 of their papers we have counts for
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math.AP2021★ 1 cited
Critical thresholds in the Euler-Poisson-alignment system
Manas Bhatnagar, Hailiang Liu, Changhui Tan
This paper is concerned with the global wellposedness of the Euler-Poisson-alignment (EPA) system. This system arises from collective dynamics, and features two types of nonlocal i…
math.AP2021
Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system
Trevor M. Leslie, Changhui Tan
We develop a global wellposedness theory for weak solutions to the 1D Euler-alignment system with measure-valued density, bounded velocity, and locally integrable communication pro…
math.AP2021
Critical threshold for global regularity of Euler-Monge-Ampère system with radial symmetry
Eitan Tadmor, Changhui Tan
We study the global wellposedness of the Euler-Monge-Ampère (EMA) system. We obtain a sharp, explicit critical threshold in the space of initial configurations which guarantees the…