Remarks about the inviscid limit of the Navier-Stokes system. (English) Zbl 1118.35030
Summary: We prove two results about the inviscid limit of the Navier-Stokes system. The first one concerns the convergence in \(H^{s}\) of a sequence of solutions to the Navier-Stokes system when the viscosity goes to zero and the initial data is in \(H^{s}\). The second result deals with the best rate of convergence for vortex patch initial data in 2 and 3 dimensions. We present here a simple proof which also works in the 3D case. The 3D case is new.
MSC:
| 35Q30 | Navier-Stokes equations |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76B03 | Existence, uniqueness, and regularity theory for incompressible inviscid fluids |
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