Vanishing viscosity limit of the 3D incompressible Oldroyd-B model

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-01 DOI:10.1016/j.anihpc.2021.02.003

Ruizhao Zi

引用次数: 2

Abstract

Consider the vanishing viscosity limit of the 3D incompressible Oldroyd-B model. It is shown that this set of equations admits a unique global solution with small analytic data uniformly in the coupling parameter ω close to 1 that corresponds to the inviscid case. We justify the limit from the Oldroyd-B model to the inviscid case $ω = 1$ for all time. Moreover, if the nonlinear term $g_{α} (τ, \nabla u)$ is ignored, similar results hold without resorting to the analytic regularity.

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三维不可压缩Oldroyd-B模型的消失粘度极限

考虑三维不可压缩Oldroyd-B模型的消失粘度极限。结果表明，该方程组在耦合参数ω趋近于1的情况下，具有一致的小解析数据的唯一全局解，对应于无粘情况。我们证明了从oldyd - b模型到无粘情况ω=1的极限。此外，如果忽略非线性项gα(τ，∇u)，则无需借助于解析正则性也能得到类似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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