Аннотация:
An overview of various hemodynamic models is given. A model of one-dimensional dynamics of blood as a multicomponent fluid is justified. An initial-boundary value problem is formulated which simulates the flow of blood through a given section of a blood vessel with elastic walls. The transition to Lagrangian variables is made. A result on the global existence of a solution to the problem is formulated.
Ключевые слова:one-dimensional hemodynamics, multicomponent fluid, initial-boundary value problem, mass Lagrangian variables, global existence, flow problem, blood vessel with elastic walls.