Divergence Free Functions in a Problem of the Rotationally Symmetric Flow Through a Pipe-Like Domain with a Moving Boundary

  • Ján Filo
  • Volker PluschkeEmail author


The divergence free velocity field for a rotationally symmetric flow with a moving boundary is studied. A dependence of velocity components on the domain deformation is determined. The notion of a stream function for such problems is introduced.


Divergence free velocity field Rotationally symmetric flow Fluid–structure interaction Free boundary Stream function 

Mathematics Subject Classification

Primary 35Q35 Secondary 74F10 76A02 76D99 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflicts of interest.


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Authors and Affiliations

  1. 1.Department of Mathematical Analysis and Numerical MathematicsComenius UniversityBratislavaSlovakia
  2. 2.Faculty of Natural Sciences II, Institute of MathematicsMartin-Luther-University Halle-WittenbergHalleGermany

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