• Corpus ID: 117017614

Supplementary Balance Laws and the Entropy Principle

@article{Preston2010SupplementaryBL,
  title={Supplementary Balance Laws and the Entropy Principle},
  author={Serge Preston},
  journal={arXiv: Mathematical Physics},
  year={2010}
}
  • S. Preston
  • Published 1 August 2010
  • Mathematics
  • arXiv: Mathematical Physics
In this work we study the mathematical aspects of the development in the continuum thermodynamics known as the "Entropy Principle". It started with the pioneering works of B.Coleman, W.Noll and I. Muller in 60th of XX cent. and got its further development mostly in the works of G. Boillat, I-Shis Liu and T.Ruggeri. "Entropy Principle" combines in itself the structural requirement on the form of balance laws of the thermodynamical system (denote such system $(\mathcal{C})$) and on the entropy… 

Tables from this paper

References

SHOWING 1-10 OF 28 REFERENCES
Geometrical theory of balance systems and the entropy principle
In this work we present the theory of balance equations of Continuum Thermodynamics (balance systems) in a geometrical form using the Poincare-Cartan formalism of Multisymplectic Field Theory. A
Multisymplectic Theory of Balance Systems and Entropy Principle
In this paper we are presenting the theory of balance equations of the Continuum Thermodynamics (balance systems) in a geometrical form using Poincare-Cartan formalism of the Multisymplectic Field
Variational Theory of Balance Systems
In this work, we apply the Poincare–Cartan formalism of Classical Field Theory to study the systems of balance equations (balance systems). We introduce the partial k-jet bundles of the
Hyperbolic Principal Subsystems: Entropy Convexity and Subcharacteristic Conditions
Abstract We consider a system of N balance laws compatible with an entropy principle and convex entropy density. Using the special symmetric form induced by the main field, we define the concept of
Galilean invariance and entropy principle for systems of balance laws
The Galilean invariance of a generic system of balance laws dictates a specific dependence of the densities and fluxes on velocity. Thus these quantities decompose in a unique manner into convective
The Entropy Principle from Continuum Mechanics to Hyperbolic Systems of Balance Laws: The Modern Theory of Extended Thermodynamics
TLDR
The different roles of the entropy principle in modern thermodynamics are discussed and a particular attention is given on the local and global well-posedness of the relative Cauchy problem for smooth solutions.
Rational Extended Thermodynamics
1 Tour d'Horizon 2 Early Version of Extended Thermodynamics 1 Paradox of Heat Conduction and Shear Diffusion 1.1 Heuristic Derivation of the Laws of Fourier and Navier-Stokes 1.2 Parabolic Laws of
Local symmetries and conservation laws
Starting with Lie's classical theory, we carefully explain the basic notions of the higher symmetries theory for arbitrary systems of partial differential equations as well as the necessary
The Non-Linear Field Theories Of Mechanics
Matter is commonly found in the form of materials. Analytical mechanics turned its back upon this fact, creating the centrally useful but abstract concepts of the mass point and the rigid body, in
Mathematical foundations of elasticity
[Preface] This book treats parts of the mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is intended for mathematicians,
...
...