Zobrazeno 1 - 10
of 59
pro vyhledávání: '"PRESTON, SERGE"'
Autor:
Preston, Serge, Vargo, James
Publikováno v:
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol LXXXVI, Iss Suppl. 1, p c1s0801019 (2008)
Externí odkaz:
https://doaj.org/article/e1197cd2957245ce8a2ed0ab01440fd9
Autor:
Preston, Serge
In this work we determine for the Cattaneo heat propagation system all the supplementary balance laws (conservation laws) of the same order (zero) as the system itself and extract the constitutive relations (expression for the internal energy) dictat
Externí odkaz:
http://arxiv.org/abs/1311.1397
Autor:
Preston, Serge
Publikováno v:
SIGMA 7 (2011), 063, 18 pages
In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a local splitting (in a conven
Externí odkaz:
http://arxiv.org/abs/1101.5375
Autor:
Preston, Serge
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 develo
Externí odkaz:
http://arxiv.org/abs/1008.0211
Autor:
Preston, Serge
In this work we apply the Poincare-Cartan formalism of the Classical Field Theory to study the systems of balance equations (balance systems). We introduce the partial k-jet bundles of the configurational bundle and study their basic properties: part
Externí odkaz:
http://arxiv.org/abs/0806.4636
Autor:
Preston, Serge
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 Theory. A constitutive relation $\mathcal{C}$ of a ba
Externí odkaz:
http://arxiv.org/abs/math-ph/0611079
Autor:
Preston, Serge, Vargo, James
We study the indefinite metric $G$ in the contact phase space $(P,\theta)$ of a homogeneous thermodynamical system introduced by R. Mrugala. We calculate the curvature tensor, Killing vector fields, second fundamental form of Legendre submanifolds of
Externí odkaz:
http://arxiv.org/abs/math/0509267
Autor:
Santoro, Manuel, Preston, Serge
In this work the curvature of Weinhold (thermodynamical) metric is studied in the case of systems with two thermodynamical degrees of freedom. Conditions for the Gauss curvature $R$ to be zero, positive or negative are worked out. Signature change of
Externí odkaz:
http://arxiv.org/abs/math-ph/0505010
Autor:
Fish, Dan, Preston, Serge
We study conditions for the integrability of the distribution defined on a regular Poisson manifold as the orthogonal complement (with respect to some (pseudo)-Riemannian metric) to the tangent spaces of the leaves of a symplectic foliation. Examples
Externí odkaz:
http://arxiv.org/abs/math/0405149