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The zero-viscosity limit of the 2D Navier-Stokes equations. (English) Zbl 1141.35431

Summary: It is shown that in a radially symmetric configuration, the zero-viscosity limit of solutions of the Navier-Stokes equations satisfies the associated Euler equations. An ancillary result on continuous dependence of solutions on \(\nu \) is also established.

MSC:

35Q30 Navier-Stokes equations
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
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