Abstract
We prove a local existence theorem for the Navier-Stokes equations with the initial data in [formula-omited] containing functions which do not decay at infinity. Then we establish an extension criterion on our local solutions in terms of the vorticity in the homogeneous Besov space (formula-omited).
| Original language | English |
|---|---|
| Pages (from-to) | 303-324 |
| Number of pages | 22 |
| Journal | Kyushu Journal of Mathematics |
| Volume | 57 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2003 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Kozono, H., Ogawa, T., & Taniuchi, Y. (2003). Navier-Stokes Equations in the Besov Space Near L∞ and BMO. Kyushu Journal of Mathematics, 57(2), 303-324. https://doi.org/10.2206/kyushujm.57.303