Some analytical solutions for the Euler and euler-poisson equations

Ling Hei YEUNG, Man Wai YUEN

Research output: Contribution to journalArticle

Abstract

In this article, we obtain a family of exact solutions for the 3-dimensional nonisentropic compressible pressureless Euler equations the Euler-Poisson equations with pressure in both the attractive and repulsive cases. Here, the exact solutions for the pressureless Euler equations are with arbitrary function parameters. Copyright © 2017 Dynamic Publishers, Inc.
Original languageEnglish
Pages (from-to)37-44
JournalNeural, Parallel and Scientific Computations
Volume25
Issue number1
Publication statusPublished - 2017

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Euler-Poisson Equations
Euler equations
Poisson equation
Euler
Analytical Solution
Exact Solution
Compressible Euler Equations
Euler Equations
Arbitrary
Family

Citation

Yeung, L. H., & Yuen, M. (2017). Some analytical solutions for the Euler and euler-poisson equations. Neural, Parallel, and Scientific Computations, 25(1), 37-44.

Keywords

  • Euler equations
  • Euler-poisson equations
  • Exact solution
  • Symmetry reduction
  • Function parameter