We prove conditions for global nonlinear stability of Oldroyd-B viscoelastic fluid flows in the Couette shear flow geometry. Global stability is inferred by analysing a new functional, called a perturbation entropy, to quantify the magnitude of the polymer perturbations from their steady-state values. The conditions for global stability extend, in a physically natural manner, classical results on global stability of Newtonian Couette flow.

中文翻译：

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Oldroyd-B 流体在平面 Couette 流中的整体稳定性

我们证明了 Couette 剪切流几何中 Oldroyd-B 粘弹性流体流动的全局非线性稳定性的条件。通过分析一种称为扰动熵的新函数来推断全局稳定性，以根据聚合物的稳态值来量化聚合物扰动的幅度。全局稳定性的条件以物理自然的方式扩展了牛顿库埃特流全局稳定性的经典结果。