The physics and mathematics of the second law of thermodynamics

EH Lieb, J Yngvason - Physics Reports, 1999 - Elsevier
The essential postulates of classical thermodynamics are formulated, from which the second
law is deduced as the principle of increase of entropy in irreversible adiabatic processes that …

Continuum thermodynamics

P Germain, P Suquet… - ASME Journal of Applied …, 1983 - ui.adsabs.harvard.edu
Some of the most significant research published in the last 15-20 years in the field of
continuum thermodynamics is reviewed. The construction of simple models of rigorous …

[图书][B] Understanding non-equilibrium thermodynamics

G Lebon, D Jou, J Casas-Vázquez - 2008 - Springer
Our time is characterized by an explosion of information and by an acceleration of
knowledge. A book cannot compete with the huge amount of data available on the Web …

A survey of entropy methods for partial differential equations

L Evans - Bulletin of the American Mathematical Society, 2004 - ams.org
A SURVEY OF ENTROPY METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS He began
then, bewilderingly, to talk about something called entr Page 1 BULLETIN (New Series) OF THE …

[图书][B] A first course in the mathematical foundations of thermodynamics

DR Owen - 2012 - books.google.com
Research in the past thirty years on the foundations of thermodynamics has led not only to a
better understanding of the early developments of the subject but also to formulations of the …

[PDF][PDF] Entropy and partial differential equations

LC Evans - Lecture Notes at UC Berkeley, 2004 - karlin.mff.cuni.cz
A good many times I have been present at gatherings of people who, by the standards of
traditional culture, are thought highly educated and who have with considerable gusto been …

[PDF][PDF] Thermodynamics based on the Hahn-Banach theorem: the Clausius inequality

M Feinberg, R Lavine - Archive for Rational Mechanics and …, 1983 - giovannibachelet.it
Although thermodynamics is no longer a young subject, its most elementary results remain
under critical scrutiny. That this should be so can perhaps be attributed to the fact that ideas …

An outline of thermodynamical structure

J Serrin - New Perspectives in Thermodynamics, 1986 - Springer
It is my purpose to formulate the laws of classical thermodynamics in a clear and precise
way, sufficiently general to include not only traditional applications to reversible and quasi …

On the thermo-mechanical theory of field dislocations in transient heterogeneous temperature fields

MV Upadhyay - Journal of the Mechanics and Physics of Solids, 2020 - Elsevier
A strong coupling between the field theory of dislocation mechanics and heat conduction is
proposed. The novel model, called the Thermal Field Dislocation Mechanics (T-FDM) model …

Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior

A Acharya, TG Shawki - Journal of the Mechanics and Physics of Solids, 1995 - Elsevier
The aim of this paper is to examine the possibility of a model of non-local inelasticity on
thermodynamic grounds in the absence of higher-order stresses or additional kinematic …