Solitary wave solutions of the Navier-Stokes equations by He's variational method-Reference-Cited by-同舟云学术

Solitary wave solutions of the Navier-Stokes equations by He's variational method

Published:2024 Issue:3 Part A Volume:28 Page:1959-1966
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:Therm sci

Author:

Wang Fei-Yang¹,Sun Jian-She²

Affiliation:

1. Navigation College, Dalian Maritime University, Dalian, Liaoning, China

2. Navigation College, Dalian Maritime University, Dalian, Liaoning, China + School of Mathematics, Jiaozuo Teacher's College, Jiaozuo, China + Institute of Mathematics and Interdisciplinary Science, Jiaozuo Teacher's College, Jiaozuo, China + School of Mathematics, China University of Mining and Technology, Xuzhou, China

Abstract

Existence of variational principles for Navier-Stokes equations has been discussing for hundreds of years, but it has not yet been solved. In this study, a new perspective is proposed, which uses a traveling wave transform, so that a variational formulation can be established. Furthermore, the solitary wave solutions are solved by He?s variational method.

Publisher

National Library of Serbia

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