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Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces

Yanghai Yu; Fang Liu — 2024

Applications of Mathematics

We construct a new initial data to prove the ill-posedness of both Navier-Stokes and Euler equations in weaker Besov spaces in the sense that the solution maps to these equations starting from $u_{0}$ are discontinuous at $t = 0$ .

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