Open AccessGeneralized variational principles for three kinds of atmospheric waves
Author(s) -
Junqiang Song,
Xiaoqun Cao,
Xiaoqian Zhu,
Wei Min Zhang,
Jun Zhao
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.070401
Subject(s) - lagrange multiplier , variational principle , inverse , variational method , variational analysis , physics , mathematical analysis , inverse method , inverse problem , mathematics , classical mechanics , quantum mechanics , geometry
The semi-inverse method is proposed by He to establish generalized variational principles for mathematical and physical problems, in which the variational crisis brought by the Lagrange multiplier method can be eliminated. with He's semi-inverse method, a family of variational principles is constructed for Rossby wave, atmospheric acoustic wave and gravity wave respectively. The obtained variational principles have also proved correct.