具有特殊进出口条件的Stokes系统解的存在性和正则性
Existence and regularity result for Stokes system with special inlet/outlet condition
摘要：
我们的目标是分析特殊类型的边界条件，创建来模拟心血管和呼吸系统中的流动。首先，我们将描述粘性不可压缩流体在一个由多个入口和出口组成的区域中的模型，具有开放的耗散边界条件。这些条件被惯性项增广。我们通过体积流率或入口/出口压力对流体运动施加附加约束。然后，我们将定义问题的弱公式化及其动机。然后，我们将证明所提出的条件的数学正确性，适当修改的伽辽金方法。同时，我们将证明解的存在性和唯一性。
英文摘要：
Our aim is to analyse special type of boundary conditions, created to simulate flows like in cardiovascular and respiratory systems. Firstly, we will describe model of viscous, incompressible fluid in a domain consisting many inlets and outlets with open dissipative boundary conditions. The conditions are augmented by the inertia terms. We are posing additional constrains on a fluid motion by a volumetric flow rates or inlet/outlet pressure. Afterwards, we will define weak formulation of the problem and its motivation. Then, we will prove mathematical correctness of proposed conditions by properly modified Galerkin method. Also, we will prove existence of a solution and its uniqueness.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
