Abstract

The paper is concerned with the IBVP in exterior domains of the two-dimensional Stokes equations. The goal was to investigate the well-posedness in the set of solutions assuming an initial data u_0in L^infty (Omega ), divergence free, and enjoying the property for all t>0 and c independent of u. For all u_0in L^infty , divergence-free one shows examples of non-uniqueness in the above set of solutions.

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