Marchioro, C.; Pulvirenti, M. Euler evolution for singular initial data and vortex theory. (English) Zbl 0529.76023 Commun. Math. Phys. 91, 563-572 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 28 Documents MSC: 76B47 Vortex flows for incompressible inviscid fluids Keywords:Euler evolution; singular initial data; evolution and vortex model PDF BibTeX XML Cite \textit{C. Marchioro} and \textit{M. Pulvirenti}, Commun. Math. Phys. 91, 563--572 (1983; Zbl 0529.76023) Full Text: DOI References: [1] Helmholtz, H.: On integrals of hydrodynamical equations which express vortex-motion. Philos. Mag.33, 485 (1867) [2] Kirchoff, G.R.: Vorlesungen über Math. Phys., Vol. I. Leipzig: Teubner 1876 [3] Poincaré, H.: Theorie des turbillons. Paris: G. Carré 1893 [4] Hald, O., Mauceri Del Prete, V. v.: Convergence of vortex methods for Euler’s equations. Math. Comp.32, 791 (1978) · Zbl 0387.76021 [5] Hald, O.: The convergence of vortex methods. II. SIAM J. Numer. Anal.16, 726 (1979) · Zbl 0427.76024 · doi:10.1137/0716055 [6] Marchioro, C., Pulvirenti, M.: Hydrodynamics in two-dimensions and vortex theory. Commun. Math. Phys.84, 483 (1982) · Zbl 0527.76021 · doi:10.1007/BF01209630 [7] Beale, J.T., Majda, A.: Vortex methods. I. Convergence in three-dimensions. Math. Comp.39, 1 (1982); Vortex methods. II. Higher order accuracy in two- and three-dimensions39, 29 (1982) [8] Marchioro, C., Pulvirenti, M.: Vortex methods in two-dimensional fluid dynamics (in preparation) (1983) · Zbl 0551.70005 [9] Aref, H.: Motion of three vortices. Phys. Fluids22, 393 (1979) · Zbl 0394.76025 · doi:10.1063/1.862605 [10] Dürr, D., Pulvirenti, M.: On the vortex flow in bounded domains. Commun. Math. Phys.85, 256 (1982) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.