3 citations · 6 across the 8 of their papers we have counts for
9 papers
Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation
Daomin Cao, Guolin Qin, Changjun Zou
We construct co-rotating and traveling vortex sheets for 2D incompressible Euler equation, which are supported on several small closed curves. These examples represent a new type o…
Kármán vortex street for the generalized surface quasi-geostrophic equation
Daomin Cao, Guolin Qin, Weicheng Zhan +1
We are concerned with the existence of periodic travelling-wave solutions for the generalized surface quasi-geostrophic (gSQG) equation(including incompressible Euler equation), kn…
On the global classical solutions for the generalized SQG equation
Daomin Cao, Guolin Qin, Weicheng Zhan +1
In this paper, we study the existence of global classical solutions to the generalized surface quasi-geostrophic equation. By using the variational method, we provide some new fami…
Existence of co-rotating and travelling vortex patches with doubly connected components for active scalar equations
Daomin Cao, Guolin Qin, Weicheng Zhan +1
By applying implicit function theorem on contour dynamics, we prove the existence of co-rotating and travelling patch solutions for both Euler and the generalized surface quasi-geo…
Existence and regularity of co-rotating and travelling global solutions for the generalized SQG equation
Daomin Cao, Guolin Qin, Weicheng Zhan +1
By studying the linearization of contour dynamics equation and using implicit function theorem, we prove the existence of co-rotating and travelling global solutions for the gSQG e…
Global solutions for the generalized SQG equation and rearrangements
Daomin Cao, Guolin Qin, Weicheng Zhan +1
In this paper, we study the existence of rotating and traveling-wave solutions for the generalized surface quasi-geostrophic (gSQG) equation. The solutions are obtained by maximiza…