77 citations · 331 across the 58 of their papers we have counts for
6 papers · 1 filter
Structure of Green's function of elliptic equations and helical vortex patches for 3D incompressible Euler equations
Daomin Cao, Jie Wan
We develop a new structure of the Green's function of a second-order elliptic operator in divergence form in a 2D bounded domain. Based on this structure and the theory of rearrang…
Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation
Daomin Cao, Shanfa Lai, Guolin Qin +2
In this paper, we are concerned with the uniqueness and nonlinear stability of vortex rings for the 3D Euler equation. By utilizing Arnold 's variational principle for steady state…
Helical vortices with small cross-section for 3D incompressible Euler equation
Daomin Cao, Jie Wan
In this article, we construct traveling-rotating helical vortices with small cross-section to the 3D incompressible Euler equations in an infinite pipe, which tend asymptotically t…
Desingularization of 3D steady Euler equation with helical symmetry
Daomin Cao, Jie Wan
In this paper, we study desingularization of steady solutions of 3D incompressible Euler equation with helical symmetry in a general helical domain. We construct a family of steady…
Traveling vortex pairs for 2D Boussinesq equations
Daomin Cao, Shanfa Lai, Guolin qin
In this paper, we study the existence and asymptotic properties of the traveling vortex pairs for the two-dimensional inviscid incompressible Boussinesq equations. We construct a f…
Existence, uniqueness and stability of steady vortex rings of small cross-section
Daomin Cao, Guolin Qin, Weilin Yu +2
This paper is concerned with steady vortex rings in an ideal fluid of uniform density, which are special global axi-symmetric solutions of the three-dimensional incompressible Eule…