论文标题

三维相位模型的局部适应性,用于血栓和血流

Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow

论文作者

Kim, Woojeong, Tawri, Krutika, Temam, Roger

论文摘要

在本文中,我们考虑了三维有界结构域上的流体结构相互作用模型,该模型描述了血流与钩弹性的血栓之间的机械相互作用。这两个阶段之间的界面由平滑的过渡层给出,并具有有限的厚度。我们通过Faedo-Galerkin方法得出了各种先验估计,并证明了局部良好的结果。

In this article we consider a fluid-structure interactions model on a three dimensional bounded domain, that describes the mechanical interaction between blood flow and a thrombus with Hookean elasticity. The interface between the two phases is given by a smooth transition layer, diffuse with a finite thickness. We derive various a priori estimates and prove local well-posedness results using the Faedo-Galerkin method.

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