Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in Rᴺ

Yang CHEN, Engui FAN, Man Wai YUEN

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we present a unified formulae for explicit self-similar solutions of the Euler/Navier–Stokes-Korteweg equations arising in the modeling of capillary fluids. The technique used here is to reduce Euler/Navier–Stokes-Korteweg equations into a series of solvable ordinary differential equations by making use of multi-dimensional self-similar ansatz and variable separation method. Copyright © 2016 Elsevier Ltd.
Original languageEnglish
Pages (from-to)46-52
JournalApplied Mathematics Letters
Volume67
Early online dateDec 2016
DOIs
Publication statusPublished - May 2017

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Self-similar Solutions
Euler equations
Navier-Stokes
Euler Equations
Ordinary differential equations
Euler
Fluids
Ordinary differential equation
Fluid
Series
Modeling

Citation

Chen, Y., Fan, E., & Yuen, M. (2017). Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in Rᴺ. Applied Mathematics Letters, 67, 46-52.

Keywords

  • Euler/Navier–Stokes-Korteweg equations
  • Variable separation
  • Analytical self-similar solutions