Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in RN. (May 2017)

• Record Type: Journal Article
• Authors: Chen, Yang; Fan, Engui; Yuen, Manwai
• Is Part Of: Applied mathematics letters. Volume 67(2017:May)
• Page Start: 46
• Page End: 52
• Publication Date: 2017-05
• Subjects: Euler/Navier–Stokes–Korteweg equations -- Variable separation -- Analytical self-similar solutions; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.12.001
• Languages: English
• ISSNs: 0893-9659

Abstract

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.