# Navier-Stokes Hamiltonian for the Similarity Renormalization Group

@article{Jones2014NavierStokesHF, title={Navier-Stokes Hamiltonian for the Similarity Renormalization Group}, author={Billy D. Jones}, journal={arXiv: Fluid Dynamics}, year={2014} }

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…

## 2 Citations

### A port-Hamiltonian formulation of the Navier-Stokes equations for reactive flows

- MathematicsSyst. Control. Lett.
- 2017

### On the Port-Hamiltonian Structure of the Navier-Stokes Equations for Reactive Flows

- Mathematics
- 2016

We consider the problem of nding an energy-based formulation of the Navier-Stokes equations for reactive ows. These equations occur in various applications, e. g., in combustion engines or chemical…

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