The initial-value problem for elastodynamics of incompressible bodies

@article{Ebin1986TheIP,
  title={The initial-value problem for elastodynamics of incompressible bodies},
  author={David G. Ebin and Ralph Saxton},
  journal={Archive for Rational Mechanics and Analysis},
  year={1986},
  volume={94},
  pages={15-38}
}
AbstractWe prove short-time well-posedness of the Cauchy problem for incompressible strongly elliptic hyperelastic materials.Our method consists in:a)Reformulating the classical equations in order to solve for the pressure gradient (The pressure is the Lagrange multiplier corresponding to the constraint of incompressibility.) This formulation uses both spatial and material variables.b)Solving the reformulated equations by using techniques which are common for symmetric hyperbolic systems. These… CONTINUE READING

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