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∈ L∞(Ω) , divergence free, and enjoying the property [InlineEquation not available: see fulltext.] for all t> 0 and c independent of u. For all u∈ L∞, divergence-free one shows examples of non-uniqueness in the above set of solutions.
A remark on the non-uniqueness in L∞ of the solutions to the two-dimensional Stokes problem in exterior domains
Maremonti P.
2021
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∈ L∞(Ω) , divergence free, and enjoying the property [InlineEquation not available: see fulltext.] for all t> 0 and c independent of u. For all u∈ L∞, divergence-free one shows examples of non-uniqueness in the above set of solutions.File in questo prodotto:
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