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On the global branches of the solutions to a nonlocal boundary-value problem arising in Oseen's spiral flows

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  • We consider a parameterized, nonlocally constrained boundary-value problem, whose solutions are known to yield exact solutions, called Oseen's spiral flows, of the Navier-Stokes equations. We represent all solutions explicitly in terms of elliptic functions, and clarify completely the structure of the set of all the global branches of the solutions.
    Mathematics Subject Classification: 34B15, 35C05, 76D05.

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