A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz, Hiroaki Yoshimura

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publicationGeometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
EditorsFrank Nielsen, Frederic Barbaresco, Frank Nielsen
PublisherSpringer Verlag
Pages401-409
Number of pages9
ISBN (Print)9783319684444
DOIs
Publication statusPublished - 2017 Jan 1
Event3rd International Conference on Geometric Science of Information, GSI 2017 - Paris, France
Duration: 2017 Nov 72017 Nov 9

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10589 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

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

Keywords

  • Heat conduction
  • Nonequilibrium thermodynamics
  • Variational formalism
  • Viscosity

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Fingerprint Dive into the research topics of 'A variational formulation for fluid dynamics with irreversible processes'. Together they form a unique fingerprint.

Cite this