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Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2013

Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains

Abstract

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 associated to the boundary conditions. Then we show how the properties of the operator lead to local solutions or global solutions for small initial data.
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Dates and versions

hal-00651390 , version 1 (13-12-2011)

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  • HAL Id : hal-00651390 , version 1

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Sylvie Monniaux. Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains. Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (5), pp.1355-1369. ⟨hal-00651390⟩
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