Global well-posedness for the hydrostatic Oldroyd-B model

被引：0
|
作者：
Paicu, Marius [1 ]
Yu, Tianyuan [2 ]
Zhu, Ning [3 ]
机构：
[1] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France
[2] Dalian Maritime Univ, Sch Sci, Dalian 116026, Peoples R China
[3] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 433卷
基金：
中国国家自然科学基金;
关键词：
Hydrostatic Oldroyd-B model; Global well-posedness; Radius of analyticity; VISCOELASTIC FLUIDS; ILL-POSEDNESS; EQUATIONS; LIMIT; EXISTENCE; FLOWS;
D O I：
10.1016/j.jde.2025.113224
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Oldroyd-B model plays an important role in the viscoelastic flows. In this paper, we study the Oldroyd-B model in a strip domain R x T. We first derive the hydrostatic approximate system for the Oldroyd-B model and then we prove the global well-posedness of this limit system with small analytic data in horizontal variable. Finally, we justify the limit from the re-scaled Oldroyd-B model to the hydrostatic (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：35
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