Asymptotics of steady vortex pair in the lake equation. (Asymptotic of steady vortex pair in the lake equation.) (English) Zbl 1445.76030

Dekeyser, Justin

SIAM J. Math. Anal. 51, No. 2, 1209-1237 (2019).

The author considers a steady 2D Euler system for a multiconnected domain. The continuity and transport equations of incompressible fluid are added to prescribed circulations along each connected component. The asymptotic behaviour of shrinking vortex pairs is studied. The results show that each vortex is concentrated in some ball.

Reviewer: Ilya A. Chernov (Petrozavodsk)

MSC:

76B47	Vortex flows for incompressible inviscid fluids
76M45	Asymptotic methods, singular perturbations applied to problems in fluid mechanics
35Q31	Euler equations
86A05	Hydrology, hydrography, oceanography

Keywords:

incompressible Euler equations; singular vortex pair; desingularization; energy maximization

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