This article is cited in 2 papers

A general form of the solution to the flow problem on the torus

E. V. Semenko

Novosibirsk State Pedagogical University, Novosibirsk

Abstract: We develop the idea to use Riemann surfaces for modeling plane flows. We establish a collection of parameters which uniquely determine the solution to the flow problem on the torus and construct a homeomorphism of the flow region, in whose plane the solution is represented explicitly by irrational functions of a complex variable with coefficients depending on the parameters. Basing on that we analyze the flow schemes for some values of the parameters.

Keywords: flow scheme, Riemann surface, torus, flow parameters.

UDC: 517.95

Received: 26.06.2009

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