Stationary Navier—Stokes Equations
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  or O.A. Ladyzenskaya, V.A. Solonnikov, N.N. Ural’tseva  for the background). Only partial regularity is available; see L. Caffarelli, R. Kohn, L. Nirenberg .
KeywordsWeak Solution Green Function Regular Solution Pressure Equation Maximum Solution
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