Method of Lagrange multipliers for exploitation of the entropy principle
From MaRDI portal
Publication:2557602
DOI10.1007/BF00250688zbMath0252.76003MaRDI QIDQ2557602
Publication date: 1972
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Related Items (only showing first 100 items - show all)
An extended Coleman-Noll procedure for generalized continuum theories ⋮ Thermodynamically consistent modeling of granular-fluid mixtures incorporating pore pressure evolution and hypoplastic behavior ⋮ A two-fluid model for reactive dilute solid-liquid mixtures with phase changes ⋮ Some remarks on relativistic fluids of divergence type ⋮ Consistency of the phenomenological theories of wave-type heat transport with the hydrodynamics of a phonon gas ⋮ A nonlocal phase-field model of Ginzburg-Landau-Korteweg fluids ⋮ Extended thermodynamics, viscoelasticity, and strain of solids ⋮ Chemo-thermomechanical ageing of elastomers based on multiphase continuum mechanics ⋮ Constitutive modeling of multiphase flows with moving interfaces and contact line ⋮ Quasi-linear versus potential-based formulations of force-flux relations and the GENERIC for irreversible processes: comparisons and examples ⋮ The principle of the minimum of the dissipation potential for non-isothermal processes ⋮ Extended thermodynamics of dense gases with at least 24 moments ⋮ Exploitation of the dissipation inequality in general relativistic continuum thermodynamics ⋮ Toward the thermodynamic modeling of reacting ionic mixtures ⋮ A viscoelastic damage model for polycrystalline ice, inspired by Weibull-distributed fiber bundle models. part II: thermodynamics of a rank-4 damage model ⋮ Adiabatic hydrodynamics: the eightfold way to dissipation ⋮ A class of linearizable models and generation of material response functions to nonlinear hyperbolic heat conduction ⋮ On the thermodynamics, stability and hierarchy of entropy functions in fluid flow ⋮ A Kinetic Type Exact Solution for Extended Thermodynamics of Dense Gases with Many Moments ⋮ The role of the relative fluid velocity in an objective continuum theory of finite strain poroelasticity ⋮ On discontinuous travelling wave solutions for a class of hyperbolic reaction-diffusion models ⋮ An exact fluid model for relativistic electron beams ⋮ Radiation thermodynamics ⋮ Dipole superfluid hydrodynamics ⋮ Hyperbolic models for linear transport theory ⋮ A study of growth and remodeling in isotropic tissues, based on the Anand‐Aslan‐Chester theory of strain‐gradient plasticity ⋮ Relative Lagrangian Formulation of Finite Thermoelasticity ⋮ Wave features of a hyperbolic reaction-diffusion model for chemotaxis ⋮ Rhombic and hexagonal pattern formation in 2D hyperbolic reaction-transport systems in the context of dryland ecology ⋮ Viscoelastic Cahn–Hilliard models for tumor growth ⋮ A symbolic computation framework for constitutive modelling based on entropy principles ⋮ Continua with partially constrained microstructure ⋮ Gradient-dependent transport coefficients in the Navier-Stokes-Fourier system ⋮ A simple model of porous media with elastic deformations and erosion or deposition ⋮ A rational extended thermodynamics model for metal electrons in bounded domains ⋮ Symmetric forms for hyperbolic‐parabolic systems of multi‐gradient fluids ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Two-dimensional equilibrium configurations in Korteweg fluids ⋮ Electrodynamics and rational thermodynamics ⋮ A solution set-based entropy principle for constitutive modeling in mechanics ⋮ A revised exposition of the Green-Naghdi theory of heat propagation ⋮ Nonlocal and nonlinear effects in hyperbolic heat transfer in a two-temperature model ⋮ 3D contaminant migration model with consolidation dependent transport coefficients ⋮ Unnamed Item ⋮ An extension of Liu procedure in weakly nonlocal thermodynamics ⋮ An exact fluid model for relativistic electron beams: The many moment case ⋮ Unnamed Item ⋮ Extended thermodynamics of charged gases with many moments ⋮ On the evolution of higher order fluxes in non-equilibrium thermodynamics ⋮ Local versus nonlocal constitutive theories of nonequilibrium thermodynamics: the Guyer-Krumhansl equation as an example ⋮ Shock structure and entropy growth in a gaseous binary mixture with viscous and thermal dissipation ⋮ A new thermodynamic framework for second-grade Korteweg-type viscous fluids ⋮ Differential consequences of balance laws in extended irreversible thermodynamics of rigid heat conductors ⋮ Extended thermodynamics of charged gases with many moments: An alternative closure ⋮ Entropy flux relation for viscoelastic bodies ⋮ Thermodynamics of continua with adsorbing interface ⋮ Asymmetric gas thermodynamics ⋮ Weakly nonlocal irreversible thermodynamics - the Guyer-Krumhansl and the Cahn-Hilliard equations ⋮ Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures ⋮ Continuum thermodynamic formulation of models for electromagnetic thermoinelastic solids with application in electromagnetic metal forming ⋮ The Ginzburg-Landau equation as a consequence of the Second Law ⋮ Conservation laws and constitutive relations for density-gradient-dependent viscous fluids ⋮ Analysis of matching conditions at the boundary surface of a fluid-saturated porous solid and a bulk fluid: the use of Lagrange multipliers ⋮ Anisotropic damage mechanics for viscoelastic ice ⋮ Thermodynamics of polycrystalline materials treated by the theory of mixtures with continuous diversity ⋮ A thermo-mechanical continuum theory with internal length for cohesionless granular materials. I: A class of constitutive models. ⋮ Unnamed Item ⋮ Second sound near lambda transition in presence of quantum vortices ⋮ Continuum thermodynamics of chemically reacting fluid mixtures ⋮ Unnamed Item ⋮ Cahn-Hilliard-Brinkman systems for tumour growth ⋮ On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Debris flows with pore pressure and intergranular friction on rugged topography ⋮ Thermodynamically consistent gradient elasticity with an internal variable ⋮ Irreducible tensor description. III. Thermodynamics of a low-temperature phonon gas ⋮ On the thermodynamics an d thermostatics of fluids in electromagnetic fields ⋮ A non-simple heat-conducting fluid ⋮ Pattern formation in hyperbolic models with cross-diffusion: theory and applications ⋮ Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC ⋮ Influence of the composition gradient on the propagation of heat pulses in functionally graded nanomaterials ⋮ Extended thermodynamics tested beyond the linear regime: The case of electron transport in silicon semiconductors ⋮ Extended approaches to covariant Maxwell electrodynamics ⋮ A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain ⋮ The model with many moments for relativistic electron beams: A simplified solution ⋮ 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 ⋮ The effects of nonlocality on the evolution of higher order fluxes in nonequilibrium thermodynamics ⋮ Coupled heat, mass and momentum transport in swelling cellulose based materials with application to retorting of paperboard packages ⋮ Consistent theory of mixtures on different levels of description ⋮ Non-equilibrium thermodynamic model for calcium carbonate supersaturated solutions of high salinity ⋮ Modelling multiphase transport in deformable cellulose based materials exhibiting internal mass exchange and swelling ⋮ Transient transport of heat, mass, and momentum in paperboard including dynamic phase change of water ⋮ A solid-fluid mixture theory of porous media ⋮ Extended thermodynamics -- a theory of symmetric hyperbolic field equations. ⋮ On entropy flux of transversely isotropic elastic bodies ⋮ Entropy principle and recent results in non-equilibrium theories ⋮ On conservation equation combinations and closure relations ⋮ A monofluid flow mathematical model of liquid helium
Cites Work
- Unnamed Item
- Systems of partial differential equations and their characteristic surfaces
- The coldness, a universal function in thermoelastic bodies
- Die Kältefunktion, eine universelle Funktion in der Thermodynamik viskoser wärmeleitender Flüssigkeiten. (The coldness function, a universal function in the thermodynamic of viscouse heat-conducting fluids)
- On the thermodynamics an d thermostatics of fluids in electromagnetic fields
This page was built for publication: Method of Lagrange multipliers for exploitation of the entropy principle
