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

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• 作者：Yang Chen^a ; ^{yayangchen@umac.mo} ; Engui Fan^b ; ^{faneg@fudan.edu.cn} ; Manwai Yuen^c ; ^{nevetsyuen@hotmail.com}
• 关键词：Euler/Navier&ndash ; Stokes&ndash ; Korteweg equations ; Variable separation ; Analytical self-similar solutions
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：67
• 期：Complete
• 页码：46-52
• 全文大小：694 K
• 卷排序：67

文摘

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.