4 papers
Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc
Boquan Fan, Yuchen Wang, Weicheng Zhan
We study the radial symmetry properties of stationary and uniformly rotating solutions of the 2D Euler equation in the unit disc, both in the smooth setting and the patch setting.…
Helical kelvin waves for the 3D Euler equation
Daomin Cao, Boquan Fan, Rui Li +1
Helical Kelvin waves were conjectured to exist for the 3D Euler equations in Lucas and Dritschel \cite{LucDri} (as well as in \cite{Chu}) by studying dispersion relation for infini…
Free boundary problems for the two-dimensional Euler equations in exterior domains
Daomin Cao, Boquan Fan, Weicheng Zhan
In this paper we present some classification results for the steady Euler equations in two-dimensional exterior domains with free boundaries. We prove that, in an exterior domain,…
Symmetry of uniformly rotating solutions for the vortex-wave system
Daomin Cao, Boquan Fan, Rui Li
In this paper, we study the radial symmetry properties of stationary and uniformly rotating solutions of the vortex-wave system introduced by Marchioro and Pulvirenti \cite{Mar1}.…