Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor
In this paper, we investigate the Cauchy problem for the d-dimensional ([Formula: see text]) incompressible Oldroyd-B model with only fractional dissipation [Formula: see text], [Formula: see text]. Applying the pure energy argument rather than spectral analysis method, we obtain the small initial d...
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World Scientific Publishing
2025-08-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S166436072550002X |
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| author | Weixun Feng Dongdong Qin Xianhua Tang Rui Zhu |
| author_facet | Weixun Feng Dongdong Qin Xianhua Tang Rui Zhu |
| author_sort | Weixun Feng |
| collection | DOAJ |
| description | In this paper, we investigate the Cauchy problem for the d-dimensional ([Formula: see text]) incompressible Oldroyd-B model with only fractional dissipation [Formula: see text], [Formula: see text]. Applying the pure energy argument rather than spectral analysis method, we obtain the small initial data global existence results in critical Besov spaces, and establish the sharp time-decay rates of the global solutions to such model for the case [Formula: see text] and the case [Formula: see text], respectively. In particular, our results include the situation that Oldroyd-B model possesses only stress tensor damping and has no dissipation term. |
| format | Article |
| id | doaj-art-ef4a751c05f44724925017db3267b13b |
| institution | Kabale University |
| issn | 1664-3607 1664-3615 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Bulletin of Mathematical Sciences |
| spelling | doaj-art-ef4a751c05f44724925017db3267b13b2025-08-22T07:46:43ZengWorld Scientific PublishingBulletin of Mathematical Sciences1664-36071664-36152025-08-01150210.1142/S166436072550002XGlobal regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensorWeixun Feng0Dongdong Qin1Xianhua Tang2Rui Zhu3School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083 Hunan, P. R. ChinaSchool of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083 Hunan, P. R. ChinaSchool of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083 Hunan, P. R. ChinaSchool of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha, 410083 Hunan, P. R. ChinaIn this paper, we investigate the Cauchy problem for the d-dimensional ([Formula: see text]) incompressible Oldroyd-B model with only fractional dissipation [Formula: see text], [Formula: see text]. Applying the pure energy argument rather than spectral analysis method, we obtain the small initial data global existence results in critical Besov spaces, and establish the sharp time-decay rates of the global solutions to such model for the case [Formula: see text] and the case [Formula: see text], respectively. In particular, our results include the situation that Oldroyd-B model possesses only stress tensor damping and has no dissipation term.https://www.worldscientific.com/doi/10.1142/S166436072550002XOldroyd-B modelfractional dissipationglobal solutionssharp decay |
| spellingShingle | Weixun Feng Dongdong Qin Xianhua Tang Rui Zhu Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor Bulletin of Mathematical Sciences Oldroyd-B model fractional dissipation global solutions sharp decay |
| title | Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor |
| title_full | Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor |
| title_fullStr | Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor |
| title_full_unstemmed | Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor |
| title_short | Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor |
| title_sort | global regularity and sharp decay for incompressible oldroyd b model with only fractional dissipation of stress tensor |
| topic | Oldroyd-B model fractional dissipation global solutions sharp decay |
| url | https://www.worldscientific.com/doi/10.1142/S166436072550002X |
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