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math.AP2021
Formation of singularities for multi-dimensional transport equations with nonlocal velocity
Quansen Jiu, Wanwan Zhang
This paper is concerned with a class of multi-dimensional transport equations with nonlocal velocity. It is shown that the local smooth solution cannot exist globally in time via t…
math.AP2021
Global well-posedness to the two-dimensional incompressible vorticity equation in the half plane
Quansen Jiu, You Li, Wanwan Zhang
This paper is concerned with the global well-posedness of the two-dimensional incompressible vorticity equation in the half plane. Under the assumption that the initial vorticity $…