THERMAL SCIENCE

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Fei-Yang Wang

,

Jian-She Sun

SOLITARY WAVE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS BY HE'S VARIATIONAL METHOD

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.
KEYWORDS
Navier-Stokes millennium-prize problem, traveling wave transform, solitary wave solutions, He’s variational methods, He-Weierstrass function, variational principle
PAPER SUBMITTED: 2023-02-01
PAPER REVISED: 2023-08-02
PAPER ACCEPTED: 2023-08-07
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403959W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [1959 - 1966]
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Solitary wave solutions of the Navier-Stokes equations by He's variational method

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