Skip to main content
SpringerLink
Log in

Divergence Free Functions in a Problem of the Flow Between a Fixed Inner Pipe and an Outer Pipe with a Moving Boundary

  • Published:
Journal of Dynamics and Differential Equations Aims and scope Submit manuscript

Abstract

The divergence free velocity field for a flow in the annulus between concentric circular pipes with a moving lateral boundary is studied. A dependence of velocity components on the domain deformation is determined.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Evans, L.C.: Partial Differential Equations. AMS, Providence, Rhode Island (1998)

    Google Scholar 

  2. Filo, J., Pluschke, V.: Divergence free functions in a problem of the rotationally symmetric flow though a pipe-like domain with a moving boundary. J. Math. Fluid Mech. 21, 32 (2019). https://doi.org/10.1007/s00021-019-0436-3

    Article  ADS  Google Scholar 

  3. Filo, J., Pluschke, V.: An approximation of the nonlinear fluid-structure interaction problem for a rotationally symmetric flow. Acta Mathematica Universitatis Comenianae 90(1), 61–91 (2021)

  4. Muha, B., Čanič, S.: Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls. Arch. Rational Mech. Anal. 207, 919–968 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  5. Čanič, S., Galič, M., Muha, B.: Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction. Trans. Amer. Math. Soc. 373, 6621–6681 (2021)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Analysis and Numerical Mathematics, Comenius University, 842 48, Mlynská dolina, Bratislava, Slovakia

    Ján Filo

  2. Faculty of Natural Sciences II, Institute of Mathematics, Martin-Luther-University Halle-Wittenberg, 06099, Halle, Germany

    Volker Pluschke

Authors
  1. Ján Filo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Volker Pluschke
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ján Filo.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supported by the Slovak Research and Development Agency under the contract No. APVV-18-0308.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Filo, J., Pluschke, V. Divergence Free Functions in a Problem of the Flow Between a Fixed Inner Pipe and an Outer Pipe with a Moving Boundary. J Dyn Diff Equat 36 (Suppl 1), 541–552 (2024). https://doi.org/10.1007/s10884-022-10162-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10884-022-10162-1

Keywords

Mathematics Subject Classification

Search

Navigation