Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (4): 1041-1059.

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Desingularization of Karman Vortex Street

Boquan Fan()   

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006
  • Received:2021-08-12 Online:2022-08-26 Published:2022-08-08
  • Supported by:
    the NSFC(11831009)

Abstract:

Karman vortex street is a kind of periodic traveling wave solution. In this paper, the vortex method is used to study the existence of Karman vortex street for two-dimensional incompressible Euler equation. We construct a family of Karman vortex street type vortex patch solutions by using the variational method, and analyze the asymptotic behavior of the family of solutions. When the vortex strength parameters tend to infinity, the family of solutions constitute a desingularization of vortex street type point vortex pairs.

Key words: Karman vortex street, Incompressible Euler equation, Vortex mathod

CLC Number: 

  • O175.2
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