A Lagrangian variational formulation for nonequilibrium thermodynamics. Part II: Continuum systems

François Gay-Balmaz, Hiroaki Yoshimura*

*この研究の対応する著者

研究成果: Article査読

36 被引用数 (Scopus)

抄録

Part I of this paper introduced a Lagrangian variational formulation for nonequilibrium thermodynamics of discrete systems. This variational formulation extends Hamilton's principle to allow the inclusion of irreversible processes in the dynamics. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of entropy production associated to all the irreversible processes involved. In Part II, we develop this formulation for the case of continuum systems by extending the setting of Part I to infinite dimensional nonholonomic Lagrangian systems. The variational formulation is naturally expressed in the material representation, while its spatial version is obtained via a nonholonomic Lagrangian reduction by symmetry. The theory is illustrated with the examples of a viscous heat conducting fluid and its multicomponent extension including chemical reactions and mass transfer.

本文言語English
ページ(範囲)194-212
ページ数19
ジャーナルJournal of Geometry and Physics
111
DOI
出版ステータスPublished - 2017 1月 1

ASJC Scopus subject areas

  • 数理物理学
  • 物理学および天文学(全般)
  • 幾何学とトポロジー

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