A quaternionic treatment of Navier-Stokes equations
Gürlebeck, Klaus, Sprössig, Wolfgang
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Gürlebeck, Klaus, Sprössig, Wolfgang
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Rolf Rannacher (1993)
Applications of Mathematics
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This paper discusses some conceptional questions of the numerical simulation of viscous incompressible flow which are related to the presence of boundaries.
Pierre-Arnaud Raviart (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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Ladyženskaja, O. A.
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Piotr Bogusław Mucha (2004)
Applicationes Mathematicae
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We study solutions of the steady Navier-Stokes equations in a bounded 2D domain with the slip boundary conditions admitting flow across the boundary. We show conditions guaranteeing uniqueness of the solution. Next, we examine the structure of the solution considering an approximation given by a natural linearization. Suitable error estimates are also obtained.