3 citations · 13 across the 15 of their papers we have counts for
9 papers · 1 filter
On the existence of vortex-wave systems to inviscid gSQG equation
Daomin Cao, Shanfa Lai, Changjun Zou
We study the existence of different vortex-wave systems for inviscid gSQG flow, where the total circulation are produced by point vortices and vortices with compact support. To ove…
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…
Existence of stationary vortex sheets for the 2D Euler equation
Daomin Cao, Guolin Qin, Changjun Zou
We investigate a steady planar flow of an ideal fluid in a (bounded or unbounded) domain . Let , , be arbitrary fixed constants…
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 stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation
Daomin Cao, Guolin Qin, Weicheng Zhan +1
In this paper, we construct smooth travelling counter-rotating vortex pairs with circular supports for the generalized surface quasi-geostrophic equation. These vortex pairs are an…
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…