Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500202 | Journal of Geometry and Physics | 2017 | 29 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
François Gay-Balmaz, Hiroaki Yoshimura,