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On the Structure of Stationary Solutions¶of the Navier--Stokes Equations

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We consider stationary solutions of the incompressible Navier–Stokes equations in two dimensions. We give a detailed description of the fluid flow in a half-plane by using a mathematical setup within which the idea of a change of type from an elliptic to a parabolic partial differential equation can be made precise.

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Received: 6 March 2001 / Accepted: 4 October 2001

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Wittwer, P. On the Structure of Stationary Solutions¶of the Navier--Stokes Equations. Commun. Math. Phys. 226, 455–474 (2002). https://doi.org/10.1007/s002200200616

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  • DOI: https://doi.org/10.1007/s002200200616

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