Generic aspects of convexification with applications to thermodynamic equilibrium
type: Item
instance of: scholarly article
title: Generic aspects of convexification with applications to thermodynamic equilibrium
zbMATH Open document ID: 0785.58013
DOI: 10.1007/BF00374979
author: P. J. Rabier
author: Andreas Griewank
published in: Archive for Rational Mechanics and Analysis
publication date: 1992-09-27T00:00:00Z
review text: This work presents a mathematical analysis of the process of convexification of a smooth function based on singularity theory. The theory developed is applied to the problem of thermodynamic phase equilibrium. The paper contains the following sections: 1. Introduction; 2. Stable phase splittings and phase number functions: some general properties; 3. A few facts about transversality; 4. Genericity and stable phase splittings; 5. Genericity and phase bifurcation; 6. Application to thermodynamic equilibrium of a mixture of \(n\) fluids; 7. Parameter dependence and the phase rule. References.
Mathematics Subject Classification ID: 58K35
Mathematics Subject Classification ID: 80A17
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 76A99
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 63704
zbMATH Keywords: thermodynamic equilibrium
zbMATH Keywords: convexification
zbMATH Keywords: singularity theory
reviewed by: J. Pečarić
MaRDI profile type: Publication
Wikidata QID: Q57389710
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full work available at URL: https://doi.org/10.1007/bf00374979
OpenAlex ID: W2089300720
description: scientific article; zbMATH DE number 63704