Global regularity and sharp decay for incompressible Oldroyd-B model with only fractional dissipation of stress tensor

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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Bibliographic Details
Main Authors: Weixun Feng, Dongdong Qin, Xianhua Tang, Rui Zhu
Format: Article
Language:English
Published: World Scientific Publishing 2025-08-01
Series:Bulletin of Mathematical Sciences
Subjects:
Oldroyd-B model
fractional dissipation
global solutions
sharp decay
Online Access:https://www.worldscientific.com/doi/10.1142/S166436072550002X
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Summary: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.
ISSN:1664-3607
1664-3615

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