Line solutions for the euler and euler-poisson equations with the multiple gamma law

Ling Hei YEUNG, Man Wai YUEN

Research output: Contribution to journalArticle

Abstract

In this paper, we study the Euler and Euler-Poisson equations in Rⁿ, with the multiple γ-law for pressure function: where all γi+1 > γi ≥ 1, are the constants. Analytical line solutions are constructed for the systems. Our novel discovery is the traveling wave solutions for handling the systems with a mixed pressure function and our solutions can be extended to systems with generalized multiple damping and pressure functions. Our solutions also provide concrete examples for testing the validation and stabilities of the systems' numerical methods. Copyright © 2013 Pushpa Publishing House.
Original languageEnglish
Pages (from-to)313-329
JournalFar East Journal of Mathematical Sciences
Volume72
Issue number2
Publication statusPublished - Jan 2013

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Euler-Poisson Equations
Euler
Line
Traveling Wave Solutions
Damping
Numerical Methods
Testing

Citation

Yeung, L. H., & Yuen, M. (2013). Line solutions for the euler and euler-poisson equations with the multiple gamma law. Far East Journal of Mathematical Sciences, 72(2), 313-329.

Keywords

  • Multiple Gamma law
  • Euler equations
  • Euler-Poisson equations
  • Exact solutions
  • Traveling wave
  • Navier-Stokes equations
  • Global solutions
  • External forces
  • Free boundary