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A New Proof of the Existence of Suitable Weak Solutions and Other Remarks for the Navier-Stokes Equations

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Document pages: 20 pages

Abstract: We prove that the limits of the semi-discrete and the discrete semi-implicitEuler schemes for the 3D Navier-Stokes equations supplemented with Dirichletboundary conditions are suitable in the sense of Scheffer [1]. This providesa new proof of the existence of suitable weak solutions, first established byCaffarelli, Kohn and Nirenberg [2]. Our results are similar to the main resultin [3]. We also present some additional remarks and open questions on suitablesolutions.

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