2 papers
physics.flu-dyn2023
Thermodynamically consistent variational theory of porous media with a breaking component
François Gay-Balmaz, Vakhtang Putkaradze
If a porous media is being damaged by excessive stress, the elastic matrix at every infinitesimal volume separates into a 'solid' and a 'broken' component. The 'solid' part is the…
math-ph2022
General relativistic Lagrangian continuum theories -- Part I: reduced variational principles and junction conditions for hydrodynamics and elasticity
François Gay-Balmaz
We establish a Lagrangian variational framework for general relativistic continuum theories that permits the development of the process of Lagrangian reduction by symmetry in the r…