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On symmetric Leray solutions of the stationary Navier–Stokes equations

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A classical result of Amick (Acta Math 161:71–130, 1988) on the nontriviality of the symmetric Leray solutions of the steady-state Navier–Stokes equations in the plane is extended to Lipschitz domains. This results is compared with the famous Stokes paradox of linearized hydrodynamics and applied to a mixed problem of some interest in the applications.

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  1. Dipartimento di Matematica, Seconda Università degli Studi di Napoli, Via Vivaldi 43, 81100, Caserta, Italy

    Antonio Russo

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  1. Antonio Russo
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Correspondence to Antonio Russo.

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Russo, A. On symmetric Leray solutions of the stationary Navier–Stokes equations. Ricerche mat. 60, 151–176 (2011). https://doi.org/10.1007/s11587-010-0101-x

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