3 papers
math.AP2026
Gradient growth and relaxation to jump profiles for 3-fold symmetric scale-invariant Euler flows
Daomin Cao, Junhong Fan, Guolin Qin
We consider the zero-homogeneous reduction of the two-dimensional Euler equation in the 3-fold symmetric case , which is left unsolved in the relaxation theory of Sai…
math.AP2026
Growth of vorticity gradient for the Euler equation on the sphere
Daomin Cao, Junhong Fan, Guolin Qin
We prove that for solutions of the Euler equation on the sphere, the vorticity gradient can grow at most double-exponentially in time, and we show that this upper bound is sharp by…
math.AP2025
Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations
Daomin Cao, Junhong Fan, Guolin Qin +1
In this paper, we investigate the time evolution of helical vortices without swirl for the incompressible Euler equations in under general initial assumptions. Assume…