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 |
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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)