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

作者：Yang Chen; Engui Fan; Manwai Yuen

来源：Applied Mathematics Letters, 2017, 67: 46-52.

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

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.