Journal article
On stability of weak Navier–Stokes solutions with large L 3,∞ initial data
- Abstract:
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We consider the Cauchy problem for the Navier–Stokes equation in ℝ3×]0,∞[ with the initial datum (Formula presented.), a critical space containing nontrivial (−1)−homogeneous fields. For small (Formula presented.) one can get global well-posedness by perturbation theory. When (Formula presented.) is not small, the perturbation theory no longer applies and, very likely, the local-in-time well-posedness and uniqueness fails. One can still develop a good theory of weak solutions with the followi...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 430.6KB)
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- Publisher copy:
- 10.1080/03605302.2018.1449219
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Authors
Bibliographic Details
- Publisher:
- Taylor and Francis Publisher's website
- Journal:
- Communications in Partial Differential Equations Journal website
- Volume:
- 43
- Issue:
- 4
- Pages:
- 628-651
- Publication date:
- 2018-05-07
- Acceptance date:
- 2017-10-21
- DOI:
- EISSN:
-
1532-4133
- ISSN:
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0360-5302
- Source identifiers:
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853764
Item Description
- Keywords:
- Pubs id:
-
pubs:853764
- UUID:
-
uuid:5499bc63-6a40-4848-9950-f13a277e6052
- Local pid:
- pubs:853764
- Deposit date:
- 2018-07-16
Terms of use
- Copyright holder:
- Taylor & Francis
- Copyright date:
- 2018
- Notes:
- © 2018 Taylor & Francis. This is the accepted manuscript version of the article. The final version is available online from Taylor & Francis at: 10.1080/03605302.2018.1449219
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