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math.AP2020
Boundary layer models of the Hou-Luo scenario
Siming He, Alexander Kiselev
Finite time blow up vs global regularity question for 3D Euler equation of fluid mechanics is a major open problem. Several years ago, Luo and Hou \cite{HouLuo14} proposed a new fi…
math.AP2020★ 1 cited
On the -critical mass threshold of a Patlak-Keller-Segel-Navier-Stokes system
Yishu Gong, Siming He
In this paper, we proposed a coupled Patlak-Keller-Segel-Navier-Stokes system, which has dissipative free energy. On the plane $\rr^2$, if the total mass of the cells is strictly l…