Global regularity for the 2D Oldroyd-B model with fractional dissipation

被引：0

作者：

Xie, Qianqian ^{[1
,2
]}

Ye, Zhuan ^{[3
]}

机构：

[1] Hefei Univ, Dept Math & Stat, Hefei 230601, Anhui, Peoples R China

[2] Hefei Univ, Key Lab Appl Math & Artificial Intelligence Mech, Hefei 230601, Anhui, Peoples R China

[3] Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2022年 / 102卷 / 02期

基金：

中国国家自然科学基金;

关键词：

BOUSSINESQ EQUATIONS; VISCOELASTIC FLUIDS; WELL-POSEDNESS; EXISTENCE; EULER; CRITERIA; FLOW;

D O I：

10.1002/zamm.202000363

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the Cauchy problem for the two-dimensional incompressible Oldroyd-B model in the corotational case with fractional dissipation (-Delta)alpha u and (-Delta)beta tau, where 0<alpha,beta<1. Our objective is to establish global regularity of the fractional Oldroyd-B model with minimal amount of dissipation. The proof of the global regularity relies on the introduction of combined quantities, sharp lower bounds for the fractional dissipation, the De Giorgi-Nash estimate and sharp upper bounds for the nonlinearities.

引用

页数：31

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