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    STUDIA MATHEMATICA - Issue no. 4 / 2008  
         
  Article:   ON THE TIME-DEPENDENT MOTION OF A VISCOUS INCOMPRESSIBLE FLUID THROUGH A TUBE WITH COMPLIANT WALLS.

Authors:  C. SURULESCU.
 
       
         
  Abstract:  In this note we study the flow of a viscous, incompressible fluid through an elastic cylinder which is very long when compared to its diameter. The fluid flows due to a given small time-dependent pressure drop between the inflow and the outflow boundary. This creeping flow is modeled by the Stokes equations for a viscous, incompressible flow, while Navier’s equations for an elastic membrane describe the behavior of the flexible tube. We show existence and uniqueness of the solution for the system consisting of these equations and the corresponding boundary conditions.  
         
     
         
         
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