Abstract
We study here the regularity of solutions of the stationary Navier—Stokes equations. For the usual Navier—Stokes equations for incompressible fluids on a bounded domain, where the time variable intervenes, the issue of regularity of weak solutions is an open problem in dimension n = 3 (see J. Leray [68] or O.A. Ladyzenskaya, V.A. Solonnikov, N.N. Ural’tseva [67] for the background). Only partial regularity is available; see L. Caffarelli, R. Kohn, L. Nirenberg [9].
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© 2002 Springer-Verlag Berlin Heidelberg
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Bensoussan, A., Frehse, J. (2002). Stationary Navier—Stokes Equations. In: Regularity Results for Nonlinear Elliptic Systems and Applications. Applied Mathematical Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12905-0_7
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DOI: https://doi.org/10.1007/978-3-662-12905-0_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08726-4
Online ISBN: 978-3-662-12905-0
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