Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure

Ling Hei Yeung; Manwai Yuen

doi:10.1063/1.3197860

Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure

Mathematical Physics 2009-08-11 v3 math.MP Fluid Dynamics

Authors: Ling Hei Yeung , Manwai Yuen

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Abstract

This article is the continued version of the analytical solutions for the pressureless Navier-Stokes equations with density-dependent viscosity in "M.W. Yuen, Analyitcal Solutions to the Navier-Stokes Equations, J. Math. Phys., 49 (2008) No. 11, 113102, 10pp". We are able to extend the similar solutions structure to the case with pressure under some restriction for $\gamma$ and $\theta$ .

Keywords

Navier-Stokes equations density-dependent viscosity pressure analytical solutions Euler equations

Cite

@article{arxiv.0902.2740,
  title  = {Analytical Solutions to the Navier-Stokes Equations with Density-dependent Viscosity and with Pressure},
  author = {Ling Hei Yeung and Manwai Yuen},
  journal= {arXiv preprint arXiv:0902.2740},
  year   = {2009}
}