Navier-Stokes Equations in the Besov Space Near L∞ and BMO

Hideo Kozono; Takayoshi Ogawa; Yasushi Taniuchi

doi:10.2206/kyushujm.57.303

Navier-Stokes Equations in the Besov Space Near L^∞ and BMO

Hideo Kozono, Takayoshi Ogawa, Yasushi Taniuchi

Research output: Contribution to journal › Article › peer-review

75 Citations (Scopus)

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	https://doi.org/10.2206/kyushujm.57.303
Publication status	Published - 2003
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2206/kyushujm.57.303

Cite this

@article{bbd0db602c9b499a97e35e46f10538c6,

title = "Navier-Stokes Equations in the Besov Space Near L∞ and BMO",

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).",

author = "Hideo Kozono and Takayoshi Ogawa and Yasushi Taniuchi",

year = "2003",

doi = "10.2206/kyushujm.57.303",

language = "English",

volume = "57",

pages = "303--324",

journal = "Kyushu Journal of Mathematics",

issn = "1340-6116",

publisher = "Kyushu University, Faculty of Science",

number = "2",

}

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 -

Navier-Stokes Equations in the Besov Space Near L^∞ and BMO

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this