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math.AP2025
Superlinear gradient growth for 2D Euler equation without boundary
In-Jee Jeong, Yao Yao, Tao Zhou
We consider the vorticity gradient growth of solutions to the two-dimensional Euler equations in domains without boundary, namely in the torus and the whole plane…
math.AP2025
Stability for multiple Lamb dipoles
Ken Abe, In-Jee Jeong, Yao Yao
In the class of nonnegative vorticities on the half-plane, we establish the Lyapunov stability of finite sums of Lamb dipoles under the initial assumptions that the dipoles are suf…