Publication: Navier–Stokes equations with first order boundary conditions
Navier–Stokes equations with first order boundary conditions
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Steiger, O. (2006). Navier–Stokes equations with first order boundary conditions. Journal of Mathematical Fluid Mechanics, 8(4), 456–481. https://doi.org/10.1007/s00021-005-0184-4
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On the basis of semigroup and interpolation-extrapolation techniques we derive existence and uniqueness results for the Navier-Stokes equations. In contrast to many other papers devoted to this topic, we do not complement these equations with the classical Dirichlet (no-slip) condition, but instead consider stress-free or slip boundary conditions. We also study various regularity properties of the solutions obtained and provide conditions for global existence
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- Steiger, Olivier
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Steiger, O. (2006). Navier–Stokes equations with first order boundary conditions. Journal of Mathematical Fluid Mechanics, 8(4), 456–481. https://doi.org/10.1007/s00021-005-0184-4
