11 citations · 59 across the 30 of their papers we have counts for
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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…