论文标题

Maxwell-type的粘弹性流量模型,具有对称的纤维制剂

A viscoelastic flow model of Maxwell-type with a symmetric-hyperbolic formulation

论文作者

Boyaval, Sébastien

论文摘要

粘弹性流的麦克斯韦模型以其在连续力学的角度将固体弹性运动与液体粘性运动统一的潜力而闻名。但是通常的麦克斯韦模型允许人们仅针对一维流量定义井动作。为了定义明确的多维粘弹性流(作为对良好的初始值问题的解决方案),我们在[ESAIM:M2AN 55(2021)807-831]中主张了一种具有配音性透明的麦克斯韦流量的上限麦克斯韦模型。在这里,该模型再次衍生出新的细节。

Maxwell models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But the usual Maxwell models allow one to define well motions mostly for one-dimensional flows only. To define unequivocal multi-dimensional viscoelastic flows (as solutions to well-posed initial-value problems) we advocated in [ESAIM:M2AN 55 (2021) 807-831] an upper-convected Maxwell model for compressible flows with a symmetrichyperbolic formulation. Here, that model is derived again, with new details.

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