论文标题
粘弹性容器中脉冲流量模型的适应性良好，适应不良和行进波
Well-posedness, ill-posedness, and traveling waves for models of pulsatile flow in viscoelastic vessels
论文作者
论文摘要
我们研究了在血流研究中得出的粘弹性血管中流体流动的分散模型。模型中的未知数是轴向沿轴向的流体速度和血管壁的位移。我们证明了一个这样的模型有一个体积良好的初始价值问题，而我们认为相关模型具有不足的初始值问题。在第二种情况下，我们仍然证明了分析函数空间中解决方案的存在。最后，我们证明了一些周期性的行进波的存在。
We study dispersive models of fluid flow in viscoelastic vessels, derived in the study of blood flow. The unknowns in the models are the velocity of the fluid in the axial direction and the displacement of the vessel wall from rest. We prove that one such model has a well-posed initial value problem, while we argue that a related model instead has an ill-posed initial value problem; in the second case, we still prove the existence of solutions in analytic function spaces. Finally we prove the existence of some periodic traveling waves.
