论文标题
准平台流体结构相互作用问题的短时间存在斑块生长问题
Short time existence of a quasi-stationary fluid-structure interaction problem for plaque growth
论文作者
论文摘要
我们解决了一个准平稳的流体结构相互作用问题，再加上细胞反应和生长，该问题来自人类动脉动脉粥样硬化病变阶段期间的斑块形成。血液是由不可压缩的Navier-Stokes方程建模的，而血管的运动是由非线性弹性的准平台捕获的。当流体和固体反应中的细胞跨界面散布和转运时，就会发生生长，从而导致泡沫细胞的积累，这被视为斑块。通过定点参数，我们得出了非线性系统的局部良好性，这是通过分析解耦线性系统来维持的。
We address a quasi-stationary fluid-structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the incompressible Navier--Stokes equation, while the motion of vessels is captured by a quasi-stationary equation of nonlinear elasticity. The growth happens when both cells in fluid and solid react, diffuse and transport across the interface, resulting in the accumulation of foam cells, which are exactly seen as the plaques. Via a fixed-point argument, we derive the local well-posedness of the nonlinear system, which is sustained by the analysis of decoupled linear systems.
