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

Yang CHEN; Engui FAN; Man Wai YUEN

doi:10.1016/j.aml.2016.12.001

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

Yang CHEN
, Engui FAN
, Man Wai YUEN

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

7 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 language	English
Pages (from-to)	46-52
Journal	Applied Mathematics Letters
Volume	67
Early online date	Dec 2016
DOIs	https://doi.org/10.1016/j.aml.2016.12.001
Publication status	Published - May 2017

Keywords

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

Access to Document

10.1016/j.aml.2016.12.001Licence: Other

Other files and links

@article{c1e2956da8bf4820a89c445c57db8e74,

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

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 {\textcopyright} 2016 Elsevier Ltd. ",

author = "Yang CHEN and Engui FAN and YUEN, \{Man Wai\}",

year = "2017",

month = may,

doi = "10.1016/j.aml.2016.12.001",

language = "English",

volume = "67",

pages = "46--52",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in Rᴺ

AU - CHEN, Yang

AU - FAN, Engui

AU - YUEN, Man Wai

PY - 2017/5

Y1 - 2017/5

N2 - 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.

AB - 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.

UR - https://doi.org/10.1016/j.aml.2016.12.001

UR - https://www.scopus.com/pages/publications/85007210850

U2 - 10.1016/j.aml.2016.12.001

DO - 10.1016/j.aml.2016.12.001

M3 - Articles

SN - 0893-9659

VL - 67

SP - 46

EP - 52

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint