A steady-state exterior Navier-Stokes problem that is not well-posed

Galdi, Giovanni

doi:10.1090/S0002-9939-08-09658-5

A steady-state exterior Navier-Stokes problem that is not well-posed
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Proc. Amer. Math. Soc. 137 (2009), 679-684 Request permission

Abstract:

We prove that the exterior Navier-Stokes problem with zero velocity at infinity is not well-posed in homogeneous Sobolev spaces. This result complements and clarifies well-known previous results obtained by various authors.

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