Péter Ván†
Abstract: In this note we compare the entropy principle and the objectivity arguments in the methodologies of Dunn and Serrin [6] and in the more recent weakly nonlocal thermodynamic analysis of Korteweg-type fluids in [29]. It is concluded that the different objectivity approaches lead to the same constitutive functions, and that the difference in the thermodynamically compatible pressure tensors of perfect Korteweg fluids is due to different symmetry requirements.
Keywords: Korteweg fluids, weakly nonlocal thermodynamics, Liu pro- cedure, material frame indifference.
MSC: 80A17, 76A02.
DOI 10.56082/annalsarscimath.2025.3.257
† van.peter@wigner.hu, Department of Theoretical Physics, HUN-REN Wigner Re- search Centre for Physics, H-1525 Budapest, Konkoly Thege Miklós u. 29-33., Hungary & Department of Energy Engineering, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, H-1111 Budapest, Műegyetem rkp. 3., Hungary
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 3, 2025
