Publication Cover
Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 4
109
Views
3
CrossRef citations to date
0
Altmetric
Articles

Existence and uniqueness of solution for fluid-plate interaction problem

&
Pages 715-730 | Received 23 Sep 2014, Accepted 05 Mar 2015, Published online: 02 Apr 2015

References

  • Čanić S, Mikelić A. Effective equations modeling the flow of a viscous incompressible fluid through a long elastic tube arising in the study of blood flow through small arteries. SIAM J. Appl. Dyn. Syst. 2003;2:431–463.
  • Panasenko GP, Stavre R. Asymptotic analysis of a periodic flow in a thin channel with visco-elastic wall. J. Math. Pures Appl. 2006;85:558–579.
  • Chambolle A, Desjardins B, Esteban MJ. Grandmont. Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. J. Math. Fluid Mech. 2005;7:368–404.
  • Grandmont C. Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. SIAM J. Numer. Anal. 2008;40:716–737.
  • Guidorzi M, Padula M, Plotnikov PI. Hopf solutions to a fluid-elastic interaction model. Math. Models Meth. Appl. Sci. 2008;18:215–269.
  • Hosoi AE, Mahadevan L. Peeling, healing and bursting in a lubricated elastic sheet. Phys. Rev. Lett. 2004;93:137802-1–137802-4. Available from: https://journals.aps.org/prl/articleid
  • Bernardi C, Canuto C, Maday Y. Spectral approximations of the Stokes equations with boundary conditions on the pressure. SIAM J. Numer. Anal. 1991;28:333–362.
  • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers. Esaim Math. Model Numer. Anal. 1974;8:129–151.
  • Lions JL. Quelques méthodes de résolution des problèmes aux limites non linéaires [Some methods for solving nonlinear boundary value problems]. Paris: Dunod et Gauthier-Villars; 1969.
  • Temam R. Navier--Stokes equations: theory and numerical analysis. Amsterdam: North Holland Publishing Company; 1977.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.