Gradient and GENERIC time evolution towards reduced dynamics
From MaRDI portal
Publication:4994584
DOI10.1098/rsta.2019.0472zbMath1462.80002arXiv1912.07693OpenAlexW3013500694WikidataQ90726875 ScholiaQ90726875MaRDI QIDQ4994584
Václav Klika, Michal Pavelka, Miroslav Grmela
Publication date: 20 June 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.07693
geometrypattern recognitionreductionstatistical physicsvector fieldsGENERICmechanicsmathematical physicsfield theorymesoscopicsmultiscale thermodynamics
Related Items (7)
Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy ⋮ GENERIC framework for reactive fluid flows ⋮ On geometry of multiscale mass action law and its fluctuations ⋮ Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems ⋮ Generalization of the dynamical lack-of-fit reduction from GENERIC to GENERIC ⋮ The fourth law of thermodynamics: steepest entropy ascent ⋮ Unified hydrodynamic description for driven and undriven inelastic Maxwell mixtures at low density
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An optimization principle for deriving nonequilibrium statistical models of Hamiltonian dynamics
- On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
- Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
- Geometric singular perturbation theory for ordinary differential equations
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Irreversibility in the short memory approximation
- Beyond Navier-Stokes
- Landau damping in the multiscale Vlasov theory
- Invariant manifolds for physical and chemical kinetics
- Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics
- A hierarchy of Poisson brackets in non-equilibrium thermodynamics
- Scattering structure and Landau damping for linearized Vlasov equations with inhomogeneous Boltzmannian states
- A new Eulerian model for viscous and heat conducting compressible flows
- Ehrenfest regularization of Hamiltonian systems
- Internal variables in thermoelasticity
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
- Multiscale Thermo-Dynamics
- Semidirect Products and Reduction in Mechanics
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Rational Extended Thermodynamics beyond the Monatomic Gas
- Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations
- A mathematical PDE perspective on the Chapman–Enskog expansion
- Nonlinear partial differential equations with applications
This page was built for publication: Gradient and GENERIC time evolution towards reduced dynamics
