Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity

Hongli AN, Man Wai YUEN

Research output: Contribution to journalArticles

2 Citations (Scopus)

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 [M. W. Yuen, “Analytical solutions to the Navier-Stokes equations,” J. Math. Phys.49, 113102 (2008)], our solutions constitute a generalization of that obtained by Yuen. Interestingly, numerical simulations show that the analytical solutions can be used to explain the drifting phenomena of the propagation wave like Tsunamis in oceans. Copyright © 2014 AIP Publishing LLC.
Original languageEnglish
Article number053506
JournalJournal of Mathematical Physics
Volume55
Issue number5
Early online dateMay 2014
DOIs
Publication statusPublished - 2014

Citation

An, H., & Yuen, M. (2014). Drifting solutions with elliptic symmetry for the compressible Navier-Stokes equations with density-dependent viscosity. Journal of Mathematical Physics, 55(5). Retrieved from http://dx.doi.org/10.1063/1.4872235

Keywords

  • Compressible navier-stokes equations
  • Characteristic method
  • Elliptic symmetry
  • Generalized emden system
  • Drifting solutions

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