Mallier, R.; Maslowe, S. A. A row of counter-rotating vortices. (English) Zbl 0778.76022 Phys. Fluids, A 5, No. 4, 1074-1075 (1993). Summary: In 1967, J. T. Stuart [J. Fluid Mech. 29, 417-440 (1967; Zbl 0152.454)] found an exact nonliner solution of the inviscid, incompressible two-dimensional Navier-Stokes equations, representing an infinite row of identical vortices which are now known as Stuart vortices. In this paper, the corresponding result for an infinite row of counter-rotating vortices, i.e., a row of vortices of alternating sign, is presented. While for Stuart’s solution, the streamfunction satisfied Liouville’s equation, the streamfunction presented here satisfies the sinh-Gordon equation. The connection with Stuart’s solution is discussed. Cited in 2 ReviewsCited in 37 Documents MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:Stuart vortices; streamfunction; Liouville’s equation; sinh-Gordon equation Citations:Zbl 0152.454 PDFBibTeX XMLCite \textit{R. Mallier} and \textit{S. A. Maslowe}, Phys. Fluids, A 5, No. 4, 1074--1075 (1993; Zbl 0778.76022) Full Text: DOI References: [1] DOI: 10.1017/S0022112067000941 · Zbl 0152.45403 [2] DOI: 10.1017/S0022112082000044 · Zbl 0479.76056 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.