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 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Navier-Stokes Equations in the Besov Space Near L∞ and BMO. / Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi.
In: Kyushu Journal of Mathematics, Vol. 57, No. 2, 2003, p. 303-324.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Navier-Stokes Equations in the Besov Space Near L∞ and BMO
AU - Kozono, Hideo
AU - Ogawa, Takayoshi
AU - Taniuchi, Yasushi
PY - 2003
Y1 - 2003
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=85009577564&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85009577564&partnerID=8YFLogxK
U2 - 10.2206/kyushujm.57.303
DO - 10.2206/kyushujm.57.303
M3 - Article
AN - SCOPUS:85009577564
VL - 57
SP - 303
EP - 324
JO - Kyushu Journal of Mathematics
JF - Kyushu Journal of Mathematics
SN - 1340-6116
IS - 2
ER -