3 papers
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 $…
math.AP2021
Local Well-posedness of Two Dimensional SQG Equation and Related Models
Huan Yu, Wanwan Zhang
In this paper, we present a new and elementary proof of the local existence and uniqueness of the classical solution to the Cauchy problem of the two-dimensional generalized surfac…