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

61 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)

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10.2206/kyushujm.57.303

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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",

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AU - Ogawa, Takayoshi

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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).

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

Abstract

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