Generic aspects of convexification with applications to thermodynamic equilibrium

DOI10.1007/BF00374979zbMath0785.58013OpenAlexW2089300720WikidataQ57389710 ScholiaQ57389710MaRDI QIDQ1194063

Patrick J. Rabier, Andreas Griewank

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00374979

zbMATH Keywords

convexificationthermodynamic equilibriumsingularity theory

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Thermodynamics of continua (80A17) Phase transitions (general) in equilibrium statistical mechanics (82B26) Catastrophe theory (58K35) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

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Primal-dual interior-point method for an optimization problem related to the modeling of atmospheric organic aerosols ⋮ Optimization problem coupled with differential equations: a numerical algorithm mixing an Interior-point method and event detection ⋮ A method for pointwise evaluation of polyconvex envelopes ⋮ Primal-dual interior-point method for thermodynamic gas-particle partitioning ⋮ An optimization problem related to the modeling of atmospheric organic aerosols ⋮ On the Smoothness of Convex Envelopes ⋮ New existence results for some nonconvex optimization problems

Cites Work

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• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Material stability, the Gibbs conjecture and the first phase rule for substances
• Champs Hamiltoniens, relaxation et existence de solutions en calcul des variations. (Hamiltonian fields, relaxation and existence of solutions in the calculus of variations)
• The morphology and stability of material phases
• On Gibb's phase rule
• On the stability of equilibrium states of general fluids
• On certain convex sets of measures and on phases of reacting mixtures
• On the Smoothness of Convex Envelopes
• New existence results for some nonconvex optimization problems
• Convex Analysis

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