三维不可压缩Oldroyd-B模型的消失粘度极限

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

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引用次数: 2

摘要

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。

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

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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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.