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}
}
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
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