Regularity criterion for the incompressible viscoelastic fluid system

Jishan Fan; Tohru Ozawa

Regularity criterion for the incompressible viscoelastic fluid system

Jishan Fan^*, Tohru Ozawa

^*この研究の対応する著者

先進理工学部

研究成果: Article › 査読

18 被引用数 (Scopus)

抄録

We consider the incompressible viscoelastic fluid system of the Oldroyd-B model. We prove a regularity criterion Δv ∈ L¹ (0,T;L ^∫) for the 3-D Oldroyd-B system with the initial data (v0,H0 - I) G H x W^1,q with 3 < q ≤ 6. Global well-posedness of smooth solution is also proven for a regularization model of this Oldroyd-B system in two space dimension.

本文言語	English
ページ（範囲）	627-636
ページ数	10
ジャーナル	Houston Journal of Mathematics
巻	37
号	2
出版ステータス	Published - 2011 12 26

ASJC Scopus subject areas

数学 (全般)

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引用スタイル

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AU - Ozawa, Tohru

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N2 - We consider the incompressible viscoelastic fluid system of the Oldroyd-B model. We prove a regularity criterion Δv ∈ L1 (0,T;L ∫) for the 3-D Oldroyd-B system with the initial data (v0,H0 - I) G H x W1,q with 3 < q ≤ 6. Global well-posedness of smooth solution is also proven for a regularization model of this Oldroyd-B system in two space dimension.

AB - We consider the incompressible viscoelastic fluid system of the Oldroyd-B model. We prove a regularity criterion Δv ∈ L1 (0,T;L ∫) for the 3-D Oldroyd-B system with the initial data (v0,H0 - I) G H x W1,q with 3 < q ≤ 6. Global well-posedness of smooth solution is also proven for a regularization model of this Oldroyd-B system in two space dimension.

KW - Oldroyd-B model

KW - Regularity criterion

KW - Viscoelastic fluid

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Regularity criterion for the incompressible viscoelastic fluid system

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