An extension of Liu procedure in weakly nonlocal thermodynamics

DOI10.1063/1.2804753zbMath1152.81377OpenAlexW2027755500MaRDI QIDQ3544523

Vito Antonio Cimmelli

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2804753

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (18)

Entropy principle and recent results in non-equilibrium theories ⋮ A nonlocal phase-field model of Ginzburg-Landau-Korteweg fluids ⋮ Thermodynamic approach to generalized continua ⋮ Role of thermodynamics in extensions of mesoscopic dynamical theories ⋮ Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview ⋮ Phase-field evolution in Cahn-Hilliard-Korteweg fluids ⋮ On the thermodynamics of Korteweg fluids with heat conduction and viscosity ⋮ Weakly nonlocal thermodynamics of anisotropic rigid heat conductors revisited ⋮ Two-dimensional equilibrium configurations in Korteweg fluids ⋮ A new thermodynamic framework for second-grade Korteweg-type viscous fluids ⋮ A new perspective on the form of the first and second laws in rational thermodynamics: Korteweg fluids as an example ⋮ Relativistic fluid dynamics: physics for many different scales ⋮ Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures ⋮ Constitutive theory of anisotropic rigid heat conductors ⋮ Thermodynamically consistent gradient elasticity with an internal variable ⋮ Weak invariants in dissipative systems: action principle and Noether charge for kinetic theory ⋮ Exploitation of the entropy principle: Proof of Liu theorem if the gradients of the governing equations are considered as constraints ⋮ Entropy principle, non-regular processes, and generalized exploitation procedures

Cites Work

• Unnamed Item
• A phenomenological scaling approach for heat transport in nano-systems
• On the thermomechanics of interstitial working
• The thermodynamics of elastic materials with heat conduction and viscosity
• Weakly nonlocal and nonlinear heat transport in rigid solids
• Determination of material functions through second sound measurements in a hyperbolic heat conduction theory
• A historical note on the entropy principle of Müller and Liu
• A gradient theory of internal variables
• A sketch of continuum thermodynamics
• On the evolution of higher order fluxes in non-equilibrium thermodynamics
• Method of Lagrange multipliers for exploitation of the entropy principle
• The effects of nonlocality on the evolution of higher order fluxes in nonequilibrium thermodynamics
• Weakly nonlocal irreversible thermodynamics
• On the kinetic theory of rarefied gases
• On the mathematical structure of thermodynamics with internal variables

This page was built for publication: An extension of Liu procedure in weakly nonlocal thermodynamics