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.
Ordinary differential equations
Ordinary differential equation
CitationChen, 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.
- Euler/Navier–Stokes-Korteweg equations
- Variable separation
- Analytical self-similar solutions