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.

引用

页数：35

共 36 条

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