4 papers · 1 filter
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…
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…
Stability of vortex quadrupoles with odd-odd symmetry
Kyudong Choi, In-Jee Jeong, Yao Yao
For the 2D incompressible Euler equations, we establish global-in-time () stability of vortex quadrupoles satisfying odd symmetry with respect to both axes. Speci…
Symmetry of hypersurfaces with ordered mean curvature in one direction
Yanyan Li, Xukai Yan, Yao Yao
For a connected -dimensional compact smooth hypersurface without boundary embedded in , a classical result of Aleksandrov shows that it must be a sphere if…