Some exact solutions of the problem of liquid flow in the contracting or expanding vessel

Some exact analytical solutions of the quasi-onedimensional hemodynamic equations in the contracting or expanding vessel are considered in the article. Such equations appear in the modeling of lymph flow in the lymphatic system. Solutions of the linearised problem in the case of periodical changing of the vessel lumen with small amplitude are presented. Also the solution of the not linear problem is obtained in the case when crosssection area depends only on time. Analytical solutions are reproduced numerically.