Regularity criterion for the incompressible viscoelastic fluid system

Jishan Fan; Tohru Ozawa

Regularity criterion for the incompressible viscoelastic fluid system

研究成果: Article

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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.

元の言語	English
ページ（範囲）	627-636
ページ数	10
ジャーナル	Houston Journal of Mathematics
巻	37
発行部数	2
出版物ステータス	Published - 2011

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ASJC Scopus subject areas

Mathematics(all)

これを引用

Fan, J., & Ozawa, T. (2011). Regularity criterion for the incompressible viscoelastic fluid system. Houston Journal of Mathematics, 37(2), 627-636.

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abstract = "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.",

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author = "Jishan Fan and Tohru Ozawa",

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AU - Ozawa, Tohru

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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.

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KW - Regularity criterion

KW - Viscoelastic fluid

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Regularity criterion for the incompressible viscoelastic fluid system

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