3 papers
math-ph2025
Metriplectic formulations of variational thermodynamics
Valentin Carlier
We propose a metriplectic reformulation of Lagrangian variational formulations for non-equilibrium thermodynamics. We prove that solutions to these constrained variational principl…
math.NA2025
Variational discretizations of viscous and resistive magnetohydrodynamics using structure-preserving finite elements
Valentin Carlier
We propose a novel structure preserving discretization for viscous and resistive magnetohydrodynamics. We follow the recent line of work on discrete least action principle for flui…
physics.plasm-ph2025
A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation
Valentin Carlier, Martin Campos-Pinto
We present a new variational formulation for Viscous and resistive Hall Magnetohydrodynamic. We first find a variational principle for ideal HMHD by applying the physical assumptio…