Supplement to “self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in Rᴺ” [Commun. Nonlinear Sci. Numer. Simu. 17 (2012) 4524-4528]

Hongli AN, Man Wai YUEN

Research output: Contribution to journalArticles

7 Citations (Scopus)

Abstract

Based on the characteristic method, we construct a new class of perturbational solutions with elliptic symmetry for the compressible Euler and Navier–Stokes equations in Rᴺ. Such solutions are more general than those obtained by Yuen [Yuen MW. Self-similar solutions with elliptic symmetry for the compressible Euler and Navier–Stokes equations in Rᴺ. Commun Nonlinear Sci Numer Simul 17 2012; 4524–8.]. The perturbational solutions may have applications in explaining the drifting phenomena of the propagation wave like Tsunamis in oceans when N=2. Copyright © 2012 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)1558-1561
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume18
Issue number6
DOIs
Publication statusPublished - Jun 2013

Citation

An, H., & Yuen, M. (2013). Supplement to “self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in Rᴺ” [Commun. Nonlinear Sci. Numer. Simu. 17 (2012) 4524-4528]. Communications in Nonlinear Science and Numerical Simulation, 18(6), 1558–1561.

Keywords

  • Euler equations
  • Navier–Stokes equations
  • Characteristic method
  • Perturbational solutions
  • Exact solutions
  • Elliptic symmetry

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