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Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in RN
Yang Chen1; Engui Fan2; Manwai Yuen3
2017-05
Source PublicationApplied Mathematics Letters
ISSN0893-9659
Volume67Pages:46-52
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.

KeywordAnalytical Self-similar Solutions Euler/navier–stokes–korteweg Equations Variable Separation
DOI10.1016/j.aml.2016.12.001
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000393525900008
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorEngui Fan
Affiliation1.Department of Mathematics, University of Macau, Macau, PR China
2.School of Mathematical Sciences, Shanghai Center for Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, PR China
3.Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Po Ling Road, Tai Po, New Territories, Hong Kong
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Yang Chen,Engui Fan,Manwai Yuen. Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in RN[J]. Applied Mathematics Letters,2017,67:46-52.
APA Yang Chen,Engui Fan,&Manwai Yuen.(2017).Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in RN.Applied Mathematics Letters,67,46-52.
MLA Yang Chen,et al."Explicitly self-similar solutions for the Euler/Navier–Stokes–Korteweg equations in RN".Applied Mathematics Letters 67(2017):46-52.
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