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math.AP2024
On a multi-dimensional transport equation with nonlocal velocity and fractional dissipation
Wanwan Zhang
This paper aims to investigate a multi-dimensional transport equation with nonlocal velocity and fractional dissipation.The balance between the nonlinearity and dissipation gives r…
math.AP2024
On the blowup of solutions for a nonlocal multi-dimensional transport equation
Wanwan Zhang
In this paper, we revisit the problem of finite-time blowup for a multi-dimensional nonlocal transport equation studied in [Dong, Adv. Math. 264 (2014) 747-761]. Inspired by a one-…