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...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2001
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