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Consider the Navier-Stokes equations in the rotational framework either on R 3 or on open sets Ω ⊂ R 3 subject to Dirichlet boundary conditions. This paper discusses recent well-posedness and ill-posedness results for bo...
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We present here different boundary conditions for the Navier- Stokes equations in bounded Lipschitz domains in R^3, such as Dirichlet, Neumann or Hodge boundary conditions. We first study the linear Stokes operator assoc...
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We study the analyticity of the semigroup generated by the Stokes operator equipped with Neumann-type boundary conditions on Lp spaces in Lipschitz domains. Our strategy is to regularize this operator by considering the ...