This article is cited in 1 scientific paper (total in 1 paper)
A general form of the solution to the flow problem on the torus
E. V. Semenko
Novosibirsk State Pedagogical University, Novosibirsk
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.
flow scheme, Riemann surface, torus, flow parameters.
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E. V. Semenko, “A general form of the solution to the flow problem on the torus”, Sib. Zh. Ind. Mat., 13:2 (2010), 124–134
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\paper A~general form of the solution to the flow problem on the torus
\jour Sib. Zh. Ind. Mat.
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This publication is cited in the following articles:
E. V. Semenko, “Inverse problem of hydrodynamics for doubly connected domain”, Russian Math. (Iz. VUZ), 60:5 (2016), 35–50
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