High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

被引：23

作者：

Constantin, Peter ^{[1
]}

Wu, Jiahong ^{[2
]}

Zhao, Jiefeng ^{[3
]}

Zhu, Yi ^{[4
]}

机构：

[1] Princeton Univ, Dept Math, Fine Hall,Washington Rd, Washington, DC 08544 USA

[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China

[4] East China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2021年 / 21卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Oldroyd-B; Complex fluid; Weissenberg number; Reynolds number; Global existence; Nonlinear stability; Dissipation; GLOBAL WELL-POSEDNESS; VISCOELASTIC FLUIDS; VORTICITY GRADIENT; EXPONENTIAL-GROWTH; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s00028-020-00616-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a small data global well-posedness result for an incompressible Oldroyd-B model with wave-number dissipation in the equation of stress tensor. The result is uniform in solvent Reynolds numbers and requires only fractional wave number-dependent dissipation (- Delta)(beta), beta >= 1/2 in the added stress.

引用

页码：2787 / 2806

页数：20

共 34 条

[1] Global weak solutions for some Oldroyd models
Bejaoui, Olfa
Majdoub, Mohamed
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (02) : 660 - 685
[2] Bird R.B., 1987, Fluid Mechanics, V1
[3] About lifespan of regular solutions of equations related to viscoelastic fluids
Chemin, JY
Masmoudi, N
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 33 (01) : 84 - 112
[4] Chen Q., ARXIV18100617V1MATHA
[5] Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces
Chen, Qionglei
Miao, Changxing
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (07) : 1928 - 1939
[6] Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems
Constantin, Peter
[J]. ADVANCES IN MATHEMATICS, 2015, 278 : 67 - 102
[7] Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress
Constantin, Peter
Kliegl, Markus
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 206 (03) : 725 - 740
[8] REMARKS ON OLDROYD-B AND RELATED COMPLEX FLUID MODELS
Constantin, Peter
Sun, Weiran
[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (01) : 33 - 73
[9] Denisov SA, 2015, P AM MATH SOC, V143, P1199
[10] Global Regularity for Some Oldroyd-B Type Models
Elgindi, Tarek M.
Rousset, Frederic
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2015, 68 (11) : 2005 - 2021

← 1 2 3 4 →