A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz*, Hiroaki Yoshimura

*この研究の対応する著者

研究成果: Conference contribution

抄録

In this paper, we present a variational formulation for heat conducting viscous fluids, which extends the Hamilton principle of continuum mechanics to include irreversible processes. This formulation follows from the general variational description of nonequilibrium thermodynamics introduced in [3, 4] for discrete and continuum systems. It relies on the concept of thermodynamic displacement. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved.

本文言語English
ホスト出版物のタイトルGeometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
編集者Frank Nielsen, Frederic Barbaresco, Frank Nielsen
出版社Springer Verlag
ページ401-409
ページ数9
ISBN(印刷版)9783319684444
DOI
出版ステータスPublished - 2017
イベント3rd International Conference on Geometric Science of Information, GSI 2017 - Paris, France
継続期間: 2017 11月 72017 11月 9

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
10589 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

Other

Other3rd International Conference on Geometric Science of Information, GSI 2017
国/地域France
CityParis
Period17/11/717/11/9

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)

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