Turkington, Bruce On steady vortex flow in two dimensions. I. (English) Zbl 0523.76014 Commun. Partial Differ. Equations 8, 999-1030 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 43 Documents MSC: 76B47 Vortex flows for incompressible inviscid fluids 49S05 Variational principles of physics (should also be assigned at least one other classification number in Section 49-XX) 35B40 Asymptotic behavior of solutions to PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) Keywords:steady; two dimensions; distribution of vorticity; variational approach of Arnold; energy functional; singular limit; classical point vortex PDF BibTeX XML Cite \textit{B. Turkington}, Commun. Partial Differ. Equations 8, 999--1030 (1983; Zbl 0523.76014) Full Text: DOI References: [1] Arnold V. I., Mathematical methods of classical mechanics. · Zbl 0386.70001 · doi:10.1007/978-1-4757-2063-1 [2] Benjamin T. B., Applications of methods of functional analysis to problems of mechanics pp 8– [3] Berestycki H., Nonlinear Anal. 4 pp 415– (1980) · Zbl 0437.35032 · doi:10.1016/0362-546X(80)90083-8 [4] Berger M. S., Acta. Math. 132 pp 14– (1974) [5] Berger M. S., Comm. Math. Phys. 77 pp 149– (1980) · Zbl 0454.35087 · doi:10.1007/BF01982715 [6] Caffarelli L., Duke Math. J. 47 pp 705– (1980) · Zbl 0466.35033 · doi:10.1215/S0012-7094-80-04743-2 [7] Friedman A., Trans. Amer. Math. Soc. 268 pp 1– (1981) · doi:10.1090/S0002-9947-1981-0628444-6 [8] Gallouět T., C.R. Acad. Sci. Paris 286 pp 739– (1978) [9] Goldshtik M. A., Sovied Physics - Doklady - 7 pp 1090– (1963) [10] Keady G., Proc. Roy. Soc. Edinburgh 91 pp 83– (1980) · Zbl 0452.35032 · doi:10.1017/S030821050001235X [11] Keady G., Proc. Roy. Soc. Edinburgh 87 pp 65– (1980) · Zbl 0452.35031 · doi:10.1017/S0308210500012348 [12] Lin C. C., Univ. of Toronto Studies, Applied Math. Series 5 (1943) [13] Morrey C. B., Multiple integrals in the calculus of variations. · Zbl 1213.49002 · doi:10.1007/978-3-540-69952-1 [14] Norbury J., Comm. Pure Appl. Math. 28 pp 679– (1975) · Zbl 0338.76015 · doi:10.1002/cpa.3160280602 [15] Richardson S., Mathematika 27 pp 321– (1980) · Zbl 0438.76020 · doi:10.1112/S0025579300010184 [16] Saffman P. G., Annual Review of Fluid Mechanics 11 (1979) · doi:10.1146/annurev.fl.11.010179.000523 [17] Serrin J., Arch. Rational Mech. Anal. 43 pp 304– (1971) · Zbl 0222.31007 · doi:10.1007/BF00250468 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.