Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounded domains

We prove the global well-posedness and regularity of the (isotropic) Lagrangian averaged Navier-Stokes (LANS-α) equations on a three-dimensional bounded domain with a smooth boundary with no-slip boundary conditions for initial data in the set {u ∈ Hs ∩ H01 | Au = 0 on δΩ, div u = 0}, s ∈ [3, 5), wh...

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Hlavní autoři: Marsden, J, Shkoller, S
Médium: Journal article
Jazyk:English
Vydáno: 2001