Geodesic
Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces
Applications of Mathematics, Tome 69 (2024) no. 6, pp. 757-767 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $t = 0$.
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 $t = 0$.
DOI : 10.21136/AM.2024.0089-24
Classification : 35Q30, 35Q31, 47J06
Keywords: Navier-Stokes equation; Euler equation; ill-posedness; Besov space 
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     title = {Ill-posedness for the {Navier-Stokes} and {Euler} equations in {Besov} spaces},
     journal = {Applications of Mathematics},
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Yu, Yanghai; Liu, Fang. Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces. Applications of Mathematics, Tome 69 (2024) no. 6, pp. 757-767. doi: 10.21136/AM.2024.0089-24

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