三维不可压缩Oldroyd-B模型的消失粘度极限

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire 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

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.