THERMAL SCIENCE

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Xian-Yong Liu

,

Yan-Ping Liu

,

Zeng-Wen Wu

VARIATIONAL PRINCIPLE FOR ONE-DIMENSIONAL INVISCID FLOW

ABSTRACT
A family of variational principles is obtained for the 1-D inviscid flow by Ji-Huan He's semi-inverse method. The invalidy of the Lagrange multiplier method, e. g., the Lagrange crisis, is also discussed to eliminate constraints of a constrained variational principle. Two approaches to the elimination of the crisis are elucidated.
KEYWORDS
Bateman variational principle, trial functional, variational theory, Euler-Lagrange equation
PAPER SUBMITTED: 2020-03-03
PAPER REVISED: 2021-10-01
PAPER ACCEPTED: 2021-10-01
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203465L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2465 - 2469]
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Variational principle for one-dimensional inviscid flow

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