Document Zbl 1353.76011

Far-field perturbations of vortex patches. (English) Zbl 1353.76011

Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140277, 16 p. (2015).

MSC:

76B47	Vortex flows for incompressible inviscid fluids
35Q31	Euler equations
35B40	Asymptotic behavior of solutions to PDEs

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References:

[1]	Yudovitch VI . 1963 Non-stationary flow of an ideal incompressible liquid. USSR Comput. Math. Math. Phys. 3, 1407–1456 [transl. from: 1963 Zh. Vych. Mat. 3, 1032–1066]. (doi:10.1016/0041-5553(63)90247-7)
[2]	DOI: 10.1016/0021-9991(79)90089-5 · Zbl 0405.76014 · doi:10.1016/0021-9991(79)90089-5
[3]	Constantin P Lax PD Majda A . 1985 A simple one-dimensional model for the three-dimensional vorticity equation. Commun. Pure Appl. Math. 38, 715–724. (doi:10.1002/cpa.3160380605) · Zbl 0615.76029 · doi:10.1002/cpa.3160380605
[4]	Majda A . 1986 Vorticity and the mathematical theory of incompressible fluid flow. Commun. Pure Appl. Math 39, S187–S220. (doi:10.1002/cpa.3160390711) · Zbl 0595.76021 · doi:10.1002/cpa.3160390711
[5]	Chemin J-Y . 1993 Persistance de structures géométriques dans les fluides incompressibles bidimensionnels. Ann. Sci. Ecol. Norm Sup. 26, 517–542. · Zbl 0779.76011
[6]	DOI: 10.1007/BF02097055 · Zbl 0771.76014 · doi:10.1007/BF02097055
[7]	Neu J . 1984 The dynamics of a columnar vortex in an imposed strain. Phys. Fluids 27, 2397–2402. (doi:10.1063/1.864543) · Zbl 0582.76021 · doi:10.1063/1.864543
[8]	DOI: 10.1007/s00220-003-1017-z · Zbl 1061.76012 · doi:10.1007/s00220-003-1017-z
[9]	Constantin P Titi E . 1988 On the evolution of nearly circular vortex patches. Commun. Math. Phys. 119, 117–198. (doi:10.1007/BF01217737) · Zbl 0673.76025 · doi:10.1007/BF01217737

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