doiSerbia

On the semi-inverse method and variational principle

Li Xue-Wei (Soochow University, College of Textile and Clothing Engineering, National Engineering Laboratory for Modern Silk, Suzhou, China)
Li Ya (Soochow University, College of Textile and Clothing Engineering, National Engineering Laboratory for Modern Silk, Suzhou, China)
He Ji-Huan (Soochow University, College of Textile and Clothing Engineering, National Engineering Laboratory for Modern Silk, Suzhou, China + Soochow University, Nantong Textile Institute, Nantong, China)

In this Open Forum, Liu et al. proved the equivalence between He-Lee 2009 variational principle and that by Tao and Chen (Tao, Z. L., Chen, G. H., Thermal Science, 17(2013), pp. 951-952) for one dimensional heat conduction. We confirm the correction of Liu et al.’s proof, and give a short remark on the history of the semi-inverse method for establishment of a generalized variational principle.

Keywords: variational principle, heat conduction, semi-inverse method, Lagrange multiplier, parameterized variational principle