2 papers
math.AP2024
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…
math.AP2024
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}.…