2 papers
math.AP2026
Finite time blow-up for a multi-dimensional model of the Kiselev-Sarsam equation
Wanwan Zhang
In this paper, we propose and study a multi-dimensional nonlocal active scalar equation of the form \begin{eqnarray*} \partial_tÏ+g\mathcal{R}_aÏ\cdot \nablaÏ= 0,~Ï(\cdot,0)=Ï…
math.AP2026
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-…