Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces
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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| Veröffentlicht in: | Applications of Mathematics 2024-12, Vol.69 (6), p.757-767 |
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| container_title | Applications of Mathematics |
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| creator | Yu, Yanghai Liu, Fang |
| description | 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_str_mv | 10.21136/AM.2024.0089-24 |
| format | Article |
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u
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| fulltext | fulltext |
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| subjects | Analysis Applications of Mathematics Classical and Continuum Physics Euler-Lagrange equation Fluid flow Function space Ill posed problems Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Navier-Stokes equations Optimization Theoretical |
| title | Ill-posedness for the Navier-Stokes and Euler equations in Besov spaces |
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