He, Ji Huan (2004) Variational theory for 2-dimensional free surface flow: Why are G.L. Liu's variational principles incorrect? JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 5 (1). pp. 7-19. ISSN 1586-2070
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Abstract
Interests in variational theory of the problem discussed have grown rapidly in recent years, various variational formulae have appeared in literature. But some of the variational principles are wrong. The paper illustrates how to establish variational principles by the semi-inverse method step by step. Comparison with Liu's results reveals that the present technique is much more convenient and reliable. Liu's variational formulation is based on technical, theoretical and conceptual errors, including misrepresentations of the semi-inverse method.
| Item Type: | Article |
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| Uncontrolled Keywords: | variational theory, free boundary problem, semi-inverse method |
| Subjects: | Q Science / természettudomány > QC Physics / fizika > QC01 Mechanics / mechanika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 19 Sep 2025 20:44 |
| Last Modified: | 19 Sep 2025 20:44 |
| URI: | https://real.mtak.hu/id/eprint/224632 |
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