ON THE CAUCHY PROBLEM FOR A COMPRESSIBLE OLDROYD-B MODEL WITHOUT STRESS DIFFUSION

被引：13

作者：

Liu, Sili ^{[1
]}

Lu, Yong ^{[2
]}

Wen, Huanyao ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510631, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 06期

关键词：

compressible Oldroyd-B model; global existence and uniqueness; without stress diffusion; GLOBAL WEAK SOLUTIONS; SPRING CHAIN MODELS; OPTIMAL DECAY-RATES; RATE-TYPE FLUIDS; DILUTE POLYMERS; VISCOELASTIC FLUIDS; CLASSICAL-SOLUTIONS; EXISTENCE; EQUATIONS; MOTION;

D O I：

10.1137/20M1362243

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to the global well-posedness and associated time-decay estimates of strong solutions for the compressible Oldroyd-B model without stress diffusion in R-3. By introducing a new linearized system and analyzing its time decay in the low-frequency regime, we establish the uniform estimates of the corresponding nonlinear system. The global-in-time well-posedness is then established near an equilibrium state by the standard continuity method. This work can be viewed as an extension of W. Wang and H. Wen [Math. Models Methods Appl. Sci., 30 (2020), pp. 139-179], where the stress diffusion is included.

引用

页码：6216 / 6242

页数：27

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