• Corpus ID: 119230884

Navier-Stokes Hamiltonian for the Similarity Renormalization Group

  title={Navier-Stokes Hamiltonian for the Similarity Renormalization Group},
  author={Billy D. Jones},
  journal={arXiv: Fluid Dynamics},
  • B. D. Jones
  • Published 3 July 2014
  • Physics, Mathematics
  • arXiv: Fluid Dynamics
The Navier-Stokes Hamiltonian is derived from first principles. Its Hamilton equations are shown to be equivalent to the continuity, Navier-Stokes, and energy conservation equations of a compressible viscous fluid. The derivations of the Euler and Navier-Stokes Hamiltonians are compared, with the former having identical dynamics to the Euler equation with the viscosity terms of the Navier-Stokes equation dropped from the beginning. The two Hamiltonians have the same number of degrees of freedom… 

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