Entropic approximation in kinetic theory

Jacques Schneider

Displaying similar documents to “Entropic approximation in kinetic theory”

Relaxation models of phase transition flows

Philippe Helluy, Nicolas Seguin (2006)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this work, we propose a general framework for the construction of pressure law for phase transition. These equations of state are particularly suitable for a use in a relaxation finite volume scheme. The approach is based on a constrained convex optimization problem on the mixture entropy. It is valid for both miscible and immiscible mixtures. We also propose a rough pressure law for modelling a super-critical fluid.

On thermodynamics of a gas with vibrating molecules

Ingo Müller (1974)

Annales de l'I.H.P. Physique théorique

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Boltzmann-Gibbs entropy: Axiomatic characterization and application.

Chakrabarti, C.G., De, Kajal (2000)

International Journal of Mathematics and Mathematical Sciences

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The entropy principle: from continuum mechanics to hyperbolic systems of balance laws

Tommaso Ruggeri (2005)

Bollettino dell'Unione Matematica Italiana

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We discuss the different roles of the entropy principle in modern thermodynamics. We start with the approach of rational thermodynamics in which the entropy principle becomes a selection rule for physical constitutive equations. Then we discuss the entropy principle for selecting admissible discontinuous weak solutions and to symmetrize general systems of hyperbolic balance laws. A particular attention is given on the local and global well-posedness of the relative Cauchy problem for...