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 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.
| 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
Regularity criterion for the incompressible viscoelastic fluid system. / Fan, Jishan; Ozawa, Tohru.
：: Houston Journal of Mathematics, 巻 37, 番号 2, 2011, p. 627-636.研究成果: Article
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TY - JOUR
T1 - Regularity criterion for the incompressible viscoelastic fluid system
AU - Fan, Jishan
AU - Ozawa, Tohru
PY - 2011
Y1 - 2011
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
UR - http://www.scopus.com/inward/record.url?scp=84055218274&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84055218274&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84055218274
VL - 37
SP - 627
EP - 636
JO - Houston Journal of Mathematics
JF - Houston Journal of Mathematics
SN - 0362-1588
IS - 2
ER -