Drifting Solutions with Elliptic Symmetry for the Compressible Navier-Stokes Equations with Density-dependent Viscosity
Mathematical Physics
2014-05-12 v2 Analysis of PDEs
Dynamical Systems
math.MP
Abstract
In this paper, we investigate the analytical solutions of the compressible Navier-Stokes equations with dependent-density viscosity. By using the characteristic method, we successfully obtain a class of drifting solutions with elliptic symmetry for the Navier-Stokes model wherein the velocity components are governed by a generalized Emden dynamical system. In particular, when the viscosity variables are taken the same as Yuen in [Yuen M.W. (2008), Analytical Solutions to the Navier-Stokes Equations, J. Math. Phys. 49, 113102], our solutions constitute a generalization of that obtained by Yuen.
Keywords
Cite
@article{arxiv.1105.0582,
title = {Drifting Solutions with Elliptic Symmetry for the Compressible Navier-Stokes Equations with Density-dependent Viscosity},
author = {Hongli An and Manwai Yuen},
journal= {arXiv preprint arXiv:1105.0582},
year = {2014}
}
Comments
9 pages. Key Words: Compressible Navier-Stokes Equations, Characteristic Method, Elliptic Symmetry, Generalized Emden System, Drifting Solutions