Highly Influenced

# Navier-Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell

@article{Cheng2007NavierStokesEI, title={Navier-Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell}, author={C. H. Arthur Cheng and Daniel Coutand and Steve Shkoller}, journal={SIAM J. Math. Analysis}, year={2007}, volume={39}, pages={742-800} }

- Published 2007 in SIAM J. Math. Analysis
DOI:10.1137/060656085

We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic fluid shell. The fluid motion is governed by the Navier–Stokes equations, while the fluid shell is modeled by a bending energy which extremizes the Willmore functional and a membrane energy with density given by a convex function of the local area ratio. The fluid flow and shell deformation are coupled together by continuity of displacements and tractions… CONTINUE READING

Highly Cited

This paper has 24 citations. REVIEW CITATIONS

#### From This Paper

##### Figures, tables, and topics from this paper.

18 Citations

26 References

Similar Papers