Motion of an Elastic Solid inside an Incompressible Viscous Fluid

  title={Motion of an Elastic Solid inside an Incompressible Viscous Fluid},
  author={Daniel Coutand and Steve Shkoller},
The motion of an elastic solid inside an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a PDE system that couples the parabolic and hyperbolic phases, the latter inducing a loss of regularity which has left the basic question of existence open until now. In this paper, we prove the existence and uniqueness of such motions (locally in time), when the elastic solid is the linear Kirchhoff elastic material. The solution is found using a… CONTINUE READING


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