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Thermodynamics of Viscous Flows on Surfaces

Mathematical Physics 2024-06-27 v1 math.MP

Abstract

In this paper, thermodynamics of a moving medium is considered. Main goal of this paper is to describe thermodynamics state equations and equations of co-existence manifolds of media on two- and three-dimensional manifolds. To this end the phase space of a medium is extended with the deformation tensor and the stress tensor.

Keywords

Cite

@article{arxiv.2406.18427,
  title  = {Thermodynamics of Viscous Flows on Surfaces},
  author = {Anna Duyunova and Valentin Lychagin and Sergey Tychkov},
  journal= {arXiv preprint arXiv:2406.18427},
  year   = {2024}
}