Zygmund spaces , inviscid limit and uniqueness of Euler flows
نویسندگان
چکیده
The paper improves the classical uniqueness result for the Euler system in the n dimensional case assuming that ∇u E ∈ L 1 (0, T ; BM O(Ω)), only. Moreover the rate of the convergence for the inviscid limit of solutions to the Navier-Stokes equations is obtained, provided the same regularity of the limit Eulerian flow. A key element of the proof is a logarithmic inequality between the Hardy and L 1 spaces which is a consequence of the basic properties of the Zygmund space L ln L.
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